Chapter 6, Problem 37
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (2)](https://i0.wp.com/www.numerade.com/static/ace-animation-pdp/video_6.d86d01139302.gif "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (2)")
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Answered step-by-step
An IIR lowpass digital filter that satisfies the specifications:
passband edge: $0.4 \pi, \quad R_p=0.5 \mathrm{~dB}$
stopband edge: $0.6 \pi, A_s=50 \mathrm{~dB}$
can be obtained using the following MATLAB script:
```
wp = 0.4; ws = 0.6; Rp = 0.5; As = 50;
[N, wn] = buttord(wp, ws, Rp, As);
[b,a] = butter (N,wn);
```
The filter coefficients $b_k$ and $a_k$ are in the arrays $\mathrm{b}$ and $\mathrm{a}$, respectively, and can be considered to have infinite precision.
1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter.
2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function.
3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef $f$ function.
Video Answer
![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (3)](https://i0.wp.com/d1ras9cbx5uamo.cloudfront.net/eyJidWNrZXQiOiAiY29tLm51bWVyYWRlIiwgImtleSI6ICJpbnN0cnVjdG9ycy9iZDcwZmU1Mzk1NjQ0NGQwOWEzYTM3ZTIzZTUxZjkxYi53ZWJwIiwgImVkaXRzIjogeyJyZXNpemUiOiB7IndpZHRoIjogMjU2LCAiaGVpZ2h0IjogMjU2fX19 "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (3)")
![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (4)](https://i0.wp.com/d1ras9cbx5uamo.cloudfront.net/eyJidWNrZXQiOiAiY29tLm51bWVyYWRlIiwgImtleSI6ICJpbnN0cnVjdG9ycy84NTljNjNlNmY5NTc0M2Q5OTljMzhlY2E1MGQyNWJmNi5qcGciLCAiZWRpdHMiOiB7InJlc2l6ZSI6IHsid2lkdGgiOiAyNTYsICJoZWlnaHQiOiAyNTZ9fX0= "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (4)")
![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (5)](https://i0.wp.com/d1ras9cbx5uamo.cloudfront.net/eyJidWNrZXQiOiAiY29tLm51bWVyYWRlIiwgImtleSI6ICJpbnN0cnVjdG9ycy8xZTg1MDBmNTk1YjA0OGI4YTM0MzdlMTRiNjFmM2EwOC5KUEciLCAiZWRpdHMiOiB7InJlc2l6ZSI6IHsid2lkdGgiOiAyNTYsICJoZWlnaHQiOiAyNTZ9fX0= "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (5)")
![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (6)](https://i0.wp.com/www.numerade.com/static/logos/logo-full-royal-on-white.ac63bc8717eb.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (6)"){kind=logo}
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (7)](https://i0.wp.com/www.numerade.com/static/icons/close-x.0ceebab0a1bd.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (7)"){kind=icon}
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An IIR lowpass digital filter that satisfies the specifications:passband edge: $0.4 \pi, \quad R_p=0.5 \mathrm{~dB}$stopband edge: $0.6 \pi, A_s=50 \mathrm{~dB}$can be obtained using the following MATLAB script:```wp = 0.4; ws = 0.6; Rp = 0.5; As = 50;[N, wn] = buttord(wp, ws, Rp, As);[b,a] = butter (N,wn);```The filter coefficients $b_k$ and $a_k$ are in the arrays $\mathrm{b}$ and $\mathrm{a}$, respectively, and can be considered to have infinite precision.1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter.2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function.3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef $f$ function.
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Your personal AI tutor, companion, and study partner. Available 24/7. Ask unlimited questions and get video answers from our expert STEM educators. Millions of real past notes, study guides, and exams matched directly to your classes. ![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (8)](https://i0.wp.com/www.numerade.com/static/newbookpage/Group_29.dade2cbbb916.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (8)")
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (9)](https://i0.wp.com/www.numerade.com/static/newbookpage/Answers.7cde04c4d430.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (9)")
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (10)](https://i0.wp.com/www.numerade.com/static/newbookpage/ntp-v2.17ba9743d61b.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (10)")
Ace Chat![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (11)](https://i0.wp.com/www.numerade.com/static/newbookpage/ntp-v3.9ed6fbf06b85.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (11)")
Ask Our Educators![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (12)](https://i0.wp.com/www.numerade.com/static/newbookpage/ntp-v4.6da2a3990184.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (12)")
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (13)](https://i0.wp.com/www.numerade.com/static/loading.b2df72ce9ed3.gif "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (13)")
![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (14)](https://i0.wp.com/s3-us-west-1.amazonaws.com/com.numerade/books/5ff3685e-6f03-460e-94a0-1cddd3d4a248.jpg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (14)")
Digital Signal Processing Using Matlab: A Problem Solving Companion
Chapter 6
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Sections
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (15)](https://i0.wp.com/www.numerade.com/static/comments/Student_Info.322cc5589342.svg "An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, As); [b,a] = butter (N,wn); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 10-bit representation for filter coefficients, provide the magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoef f function. | Numerade (15)")
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![An IIR lowpass digital filter that satisfies the specifications: passband edge: 0.4 π, Rp=0.5 dB stopband edge: 0.6 π, As=50 dB can be obtained using the following MATLAB script: “` wp = 0.4; ws = 0.6; Rp = 0.5; As = 50; [N, wn] = buttord(wp, ws, Rp, (2024)](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mP8/h8AAvMB+NzmkbcAAAAASUVORK5CYII=)