Can someone please explain this problem?? Thank you.
Can someone please explain this problem?? Thank you. For the FIR filter y[n] = x[n]-ax[n-1, determine...
4. A discrete time FIR filter is constructed where the filter output at time n, y[n] is the weighted average of the present (current) and the two previous values of the input signal x[n] such that y[n]=> b x[n- k) where the filter coefficients (bk's) are selected k-0 based on the following constraints: • 0<b«<l, • Zb= 1, k = 0, 1, 2 2b, – 56, +10b, = 3, 36, +4b, +2b, = k=0 a. Determine the filter coefficients bo,...
[1].(20점) An FIR filter is given by H(a)= e-"(1+cos (ω)). (a) Find the output y[n] when the input zln]= 20s ( -6) (b) Determine the difference equation between xIn] and y[n]. [1].(20점) An FIR filter is given by H(a)= e-"(1+cos (ω)). (a) Find the output y[n] when the input zln]= 20s ( -6) (b) Determine the difference equation between xIn] and y[n].
[1].(20 Write a MATLAB program to design an FIR filter with the ssba (6KH2-12kHz) and draw the frequency response. The sampling rate is 40kHz and the filter order is 10. Hint: b- firl(10, passband), freqz(b, 1, n (Display the horizontal axis in terms of analog frequency.) [2].(25}) In the following system f,800 samples/sec. yln]= 0.5y/n-1+ z{n]+ z{n_1] - c) Ideal D-to-A Cunverter LTI System Ideal A-to-D Converter -1/F T.-1/P (a) Determine the impulse response h nl/ (b) Determine the output...
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
a/ If the impulse response of an FIR filter is h[n] = δ[n] - 4δ[n-1] + δ[n-2], make a plot of the output when the input is the signal: x[n] = δ[n-2] - δ[n-4]. b/ Determine the frequency response, H(ω), and give the answer as a simple formula. c/ Determine the magnitude of H(ω) and present your answer as a plot of the magnitude vs frequency. Label important features.
Problem 2 Consider an FIR filter with the following impulse response: h [n] [1 -2 3] (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x(n] - [1 2 3 2 1? Problem 2: Consider an FIR filter with the following impulse response: h(n] [1-2 3 (a) What is the gain at 2 0.67 rads/sample? (b) What is the filter output if the input is x [n] 1 2 3...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
Please solve the whole question. An FIR filter is described by the difference equatio y(n) - x(n) - x(n -6) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to the inputs 310 10 2π π x (n) = 5 + 6 cos-n + 2, An FIR filter is described by the difference equatio y(n) - x(n) - x(n -6) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to the inputs...
5.38 a,b,c aliasing occur? (Justify your answer.) 5.38. An ideal lowpass digital filter has the frequency function H(2) given by H(n) (a) Determine the unit pulse response h[n] of the filter. (b) Compute the output response yln] of the filter when the input [n] is given by (i) x[n] = cos(m/8), n = 0, ±1, ±2, . . . (ii) x[n] = cos(3rm4) + cos(πη/16), n = 0, ±1, ±2,… (iii) x[n]-sinc(n/2), n-0, ±1,±2 (iv) x[n] = sine(n/4), n =...
3.21. Given a filter described by the difference equation y[n] = 2x[n] + 3x[n - 1] + 2x[n - 2] where x[n] is the input signal and y[n] is the output signal. (a) Find and plot h[n] the impulse response of the filter. (b) find and plot H(Ω).