Let the Impulse response of a 3-point running-average filter, h[n] be -2 -1 O2345 6 And...
l(20 points) (1) Linear convolution: In a linca response h(n) impulse response h(n) f 2 -1). Use the direct linear convolution method to find the output y(n). r system, let input x(n) (n 2), 0s n s 1, and impulse
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...
2. (20 points) Let input x(n) (1 0 0) and impulse response h(n) (1 0). Each has length of N-3 and N 2, respectively. Append zeros to x(n) and h(n) to make the length of both equal to N+N-1 Find the output y(n) by using the DFT and the inverse DFT method.
Question 2: (25 Marks) The Impulse response h(n) of a filter is non zero over the index range of n be [5,8]. The input signal x(n) to this filter is non zero over the index range of n be [7,12]. Consider the direct and LTI forms of convolution y(n)-Σh(m) x(-m)- Σχm)h (n -m) m a. Determine the overall index range n for the output y(n). For each n, determine the corresponding summation range over m, for both the direct and...
The impulse response of a filter is given by the function: Use convolution to calculate the step-response/output of the filter. - no x[n] was given in the task h[n] = a[n]-20[n-1] + 0[n-2]
Question 5: (25marks) The Impulse response h(n) of a filter is non zero over the index range of n be [3,6]. The input signal x(n) to this filter is non zero over the index range of n be [10,20]. Consider the direct and LTI forms of convolution yin)-Σh(m) x (n-m)- Σχm)h (n -m) Determine the overall index range n for the output y(n). For each n, determine the corresponding summation range over m, for both the direct and LTI forms....
Let the impulse response of a causal system be h(n) = -0.75h(n-1) +δ(n) (a) (5 points) What are the impulse response filter coefficients? (b) Is the lter stable? Justify your answer. (c) Express y(n) in terms of an implementable combination of previous out-put values and input values and draw a picture of your filter
Let x(t) = tu(t) be the input to a LTI with impulse response h(t) = t 2u(t). Find the output y(t) using convolution
please provide a complete solution with the correct answer. Let the following causal system be initially at rest, and let h[n] be the impulse response, with z- transform H(zEfS A. 2 2 20.The second point of the impulse response is, hlll- a) 0 b) 1/3 C)1/2d)3/2e)none above Let the following causal system be initially at rest, and let h[n] be the impulse response, with z- transform H(zEfS A. 2 2 20.The second point of the impulse response is, hlll- a)...
Thanks Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks) Question 3 a)...