Estimate the order N and cutoff frequency Wc for a Butterworth lowpass filter having the following...
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...
Question 1 Design a lowpass filter, with cutoff frequency wc. The maximum gain of the fitler should be A dB, and the filter gain at angular frequency ws should be no more than As dB. Use as few circuit elements as possible. wc 1552(rad/s) A 22,48 (dB) ws 3776 (rad/s) As -17,98 (dB)
The MATLAB program below designs a lowpass filter for a passband edge frequency of 250Hz and a stopband edge of 350Hz. The sampling frequency is 2kHz. A Hamming window is used. (a) The program is on Webcampus. Run it and copy and paste the wvtool plots into Word. % FIR Filter Design (using wvtool) % Lowpass Design clear fpass 250; fstop 350; fs 2000; wp 2*pi* fpass/ fs; ws 2* pi fstop / fs; M=ceil(6.6 * pi / (ws-wp)) +...
Design lowpass IIR filter with the following specifications: Filter order = 2, Butterworth type Cut-off frequency=800 Hz Sampling rate =8000 Hz Design using the bilinear z-transform design method Print the lowpass IIR filter coefficients and plot the frequency responses using MATLAB. MATLAB>>freqz(bLP,aLP,512,8000); axis([0 4000 –40 1]); Label and print your graph. What is the filter gain at the cut-off frequency 800 Hz? What are the filter gains for the stopband at 2000 Hz and the passband at 50 Hz based...
Design a first order high-pass Butterworth filter that achieves the following specifications: Cutoff frequency = 770 Hz Stop-band corner frequency = 132 Hz dB slope = 20dB / decade Gain at 132 Hz ≈ -14.9 dB Show working for all determined values of R and C
Problem 3 (LSM3) (20 pts) Consider a Butterworth filter of order one with a cutoff frequency of we [rad/sec]. (a) Determine the transfer function H(s) of the Butterworth filter so that it is causal and stable (b) Determine the output of the filter in response to the input 1 + cos Problem 3 (LSM3) (20 pts) Consider a Butterworth filter of order one with a cutoff frequency of we [rad/sec]. (a) Determine the transfer function H(s) of the Butterworth filter...
Use Bilinear Transform to design a lowpass Butterworth digital filter that passes frequencies up to f=1500Hz with minimum gain -7dB. The filter is to block frequencies from f = 3600Hz with a maximum gain-38dB. The sampling frequency is f = 8000 a) Find the Butterworth Filter Order = (N), 3-dB Cutoff frequency, and the numerator and denominator coefficients of the H(z) b) Which of the frequencies in the followingx()will be passed by your designed filter?x(t) = cos(1600πt)+5cos(8000πt)+3cos(2300πt)+ 2cos(1400πt)
Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digital ülier thai passos frequencies up to f,, 12K1Iz with ınaximiin kxz; ofǎ_ (1,1A and stops frequences from, fs-24KHz with a minimum loss of δ2-0.3. The sanpling frequency isf 100KHz. Find the Butterworth Filter Order(N), 3-dB Cutoff frequency and the numerator and denominator coefficients of the H(z) by hand-calculation. Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digital ülier thai...
Design a low-pass Butterworth filter of the lowest order possible that has a cutoff frequency of 100 kHz and a no more then -30 dB at 600kHz. Use as many 50Ω resistors as possible. Draw the circuit.
For a sixth-order low-pass Butterworth filter (a) Find the minimum attenuation Amin if ws = 1.5wp with a 0.5-dB maximum passband ripple. (b) instead of finding Amin, find an arbitrary attenuation point for the same filter at frequency wm at the midpoint between wp and ws.