PROBLEM #1: For each of the three sets of specifications given below, determine: (a) (b) (c)...
3. In this problem you will identify the system/transfer function H(e) of a Butterworth digital filter using the impulse invariance approach. Design a Butterworth low pass filter that meets the follow- ing specifications. Passband gain is atleast -2 dB and stopband attenuation is atleast -20 dB, i.e. 0.79433 lH(ejw)I l in the frequency range 0 0.2π and lH(eM)I 0.1 in the frequency range 0.4π-lal T. (a) Sketch the specifications and identify the pass band tolerance, stop band tolerance, transition, passband...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp of 2 dB, the minimum stopband attenuation R, of 60 dB, the passband edge frequency op of 1000 rad/sec, and stopband edge frequency os of 3000 rad/sec (1) Estimate the order for this filter (2) Estimate the cut-off frequency for this filter. 5. (20 points) Consider the first-order...
1) Design a low-pass RC device with the following specifications: a) Input x(t) and output y(t) b) Bandwidth which is defined as the range of frequencies (from 0 Hz to ??, the − 3dB point ) allowed to pass through without significant attenuation = 100Hz c) Static gain = 14dB d) The system has −20 dB/decade rolloff at high frequencies (thus first-order LP filter) Assume that you have one and only one resistor value available to you, and that resistance is...