# Question: Find the impulse response and transfer function of a filter

Find the impulse response and transfer function of a filter matched to a triangular waveform as shown in the accompanying figure when the noise is stationary and white with a power spectrum of No / 2.

## Relevant Questions

A known deterministic signal, s (t), plus colored (not white) noise; N (t), with a PSD of SNN (f) is input to a filter. Derive the form of the filter that maximizes the SNR at the output of the filter at time t = to. To make ...The output of a filter is given in terms of its input by Y (t) = X (t) + X (t – to) + X (t – 2to) (a) Determine as a function of R XX (τ). (b) Find E [y2 (t)]. Calculate the spectrum for in Exercise 11.5 if And Prove that the importance sampling (IS) estimator of Equation (12.26) is unbiased. That is, show that Find a transformation which will change a uniform random variable into each of the following distributions (see Appendix D for the definitions of these distributions if necessary): (a) arcsine, (b) Cauchy, (c) Rayleigh, ...Post your question