1. Design a digital Butterworth lowpass filter with the following specifications: Maximum attenuation in the passband = Ap = 0.6 dB Minimum attenuation in the stopband = A₁ = 15 dB Passband cutoff frequency = fp = 1830 Hz Stopband cutoff frequency = fs = 3020 Hz Sampling rate = f sampling = 10000 Hz excess tolerance = stopband (a) Find the digital cutoff frequencies 0p, 05. (b) Find the prewarped cutoff frequencies @p, 00s. (c) Find the cutoff frequencies 2p and 2, of the normalized lowpass filter.

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1. Design a digital Butterworth lowpass filter with the following specifications:
Maximum attenuation in the passband = Ap = 0.6 dB
Minimum attenuation in the stopband = A₁ = 15 dB
Passband cutoff frequency = fp = 1830 Hz
Stopband cutoff frequency = fs = 3020 Hz
Sampling rate = fsampling = 10000 Hz
excess tolerance = stopband
(a) Find the digital cutoff frequencies Op, 05.
(b) Find the prewarped cutoff frequencies @p, s.
(c) Find the cutoff frequencies p and S2, of the normalized lowpass filter.
(d) Find the order n of the normalized lowpass filter.
(e) Find the recalculated value As1 and 2c.
(f) Find the location of poles and zeros for the normalized lowpass filter.
(g) Find the frequency transformed lowpass poles and zeros.
(h) Find the digital lowpass poles and zeros.
Transcribed Image Text:1. Design a digital Butterworth lowpass filter with the following specifications: Maximum attenuation in the passband = Ap = 0.6 dB Minimum attenuation in the stopband = A₁ = 15 dB Passband cutoff frequency = fp = 1830 Hz Stopband cutoff frequency = fs = 3020 Hz Sampling rate = fsampling = 10000 Hz excess tolerance = stopband (a) Find the digital cutoff frequencies Op, 05. (b) Find the prewarped cutoff frequencies @p, s. (c) Find the cutoff frequencies p and S2, of the normalized lowpass filter. (d) Find the order n of the normalized lowpass filter. (e) Find the recalculated value As1 and 2c. (f) Find the location of poles and zeros for the normalized lowpass filter. (g) Find the frequency transformed lowpass poles and zeros. (h) Find the digital lowpass poles and zeros.
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