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3. A digital filter is described by the difference equation where u[n] represents the unit step sequence. The initial conditions of the system are y[-1] = 0 and y[-2] = 1. (a) Draw a block diagram implementation of the above system. (b) Determine the output y[n] (c) Determine the zero-input solution. (d) Determine the zero-state solution. (e) Is the system stable? Justify your answer
Topic: Realisation of Digital Filters A filter has the following realisation: where the values of the multipliers are a1=-0.57, a2=-0.56, b1=0.55 and b2=0.69. Answer the following, giving answers to four decimal places. PART 1 For the following transfer functions: H1(z) = (z+γ1)/ (z+γ2) and H2(z) = (z+γ3)/ (z+γ4) determine the values of the coefficients: γ1=_____ γ2=_____ γ3=_____ y4=_____ H(=) H(E) H-(-) | [7] الريال T 7) پز xb
5. Consider the digital filter in Figure 3. (a) Assuming all delay units are cleared, find the transfer function for the filter (b) Write the difference equation for the filter. (c) Find the impulse response for this filter. (d) Now assume that delay unit 1 (D1) initially has a value 1 stored and the other delay units are cleared. Find 2 D3 4 D2 2 DS Figure 3: Question 5 5. Consider the digital filter in Figure 3. (a) Assuming...
The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2, a2 = 2, b0 = 1, b1 = 1/2, b2 = 1/8. (a's are numerator coefficients and b's are the denominator coefficients). Determine the magnitude response (in dB) at ω = π. The filter coefficients of a second-order digital IR filter are: ao1, a2, a2 2, bo 1, b1- 1/2, b2- 1/8. (a's are numerator coefficients and b's are the denominator coefficients). Determine the...
When converting a butterworth or chebyshev analog filter to an equivalent digital filter. What sort of criteria should you use when deciding which of these two filter types to use for a given filter?
The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2, a2 = 2, b0 = 1, b1 = 1/2, b2 = 1/8. (a's are numerator coefficents and b's are the denominator coefficients). Determine the value of the impulse response h(6)?
1.The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2, a2 = 2, b0 = 1, b1 = 1/2, b2 = 1/8. (a's are numerator coefficents and b's are the denominator coefficients). Compute the magnitude response |H(ejω)| where ω = 5.174 rad/sec. 2. It is desired to extract a constant signal s(n)= s from the noisy measured signal x(n)= s(n)+v(n)= s + v(n), where v(n) is zero-mean white Gaussian noise of variance ϭv2. For...
A digital filter has the transfer function H(z) = ? -0.2 (2) Z(z - 0.7) a. Is the system stable? b. Find the output y[n] for the filter if the input is x[n] = (0.9)"u[n].
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 =...
4. We wish to design a digital bandpass filter from a second-order analog lowpass Butterworth filter prototype using the bilinear transformation. The cutoff frequencies (measured at the half-power points) for the digital filter should lie at ω 5t/12 and ω-7t/12. The analog prototype is given by 1 s2+/2s+1 with the half-power point at 2 Determine the system function for the digital bandpass filter. a) b) Make the transfer from LPF to BPF in the analog domain Make the transfer from...