assignments:a1
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| assignments:a1 [2012/09/11 18:01] – asif | assignments:a1 [2012/09/11 18:06] (current) – asif | ||
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| ====== Assignment 1 ====== | ====== Assignment 1 ====== | ||
| - | Problem 1. (a) and (c) only. | + | Problem 1. (a) and ( c) only. |
| Problem 1.6 | Problem 1.6 | ||
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| Problem 1.7 | Problem 1.7 | ||
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| Problem 1.8 | Problem 1.8 | ||
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| Problem 1.11 | Problem 1.11 | ||
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| Problem 1.15 | Problem 1.15 | ||
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| Additional Problem: A linear time invariant system given by the differential equation | Additional Problem: A linear time invariant system given by the differential equation | ||
| dy/dt + cy(t) = x(t), for all t | dy/dt + cy(t) = x(t), for all t | ||
| - | has white noise with autocorrelation Rxx(t) = qd(t) applied at its input x(t) | + | has white noise with autocorrelation Rxx(t) = q δ(t) applied at its input x(t), where δ(t) is the impulse function. The output is denoted by y(t). Determine: (a) the impulse response of the system; (b) the frequency (or Laplace) transfer function for the system; ( c) power spectral densities for the input and output signals, and; (d) the autocorrelation function for the output. |
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assignments/a1.1347386466.txt.gz · Last modified: 2012/09/11 18:01 by asif