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i) Declare a vector of length 256 samples. The first 100 samples is 1 and the next 146 samples are zero. This will be our low pass filter (10 points) ii) Use MATLABs ifft function to compute the inverse transform of the filter you designed in 1 (i). This will be the impulse response of our filter (5 points) Define a DT signal x[n] = 3 cosen is provided as input the filter. Plot i Use MATLABs conv function to compute the convolution between input signal and impulse response of the filter. This is the output of the filter. Plot it. iii) 14 (5 points) iv) (10 points)

Use Matlab to solve.

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