Unformatted text preview: (c) What is the average probability of error for such a decision? Is it larger than, smaller than, or the same as Q ( √ SINR )? 3. [Error probability when a matched ﬁlter is used] The discrete-time model for a band-limited channel has as channel response the sequence 0 . 1 , 1 . , . 2 ,-. 1. The ratio E T /σ 2 is 10 (or 10 dB). Assume that the demodulator uses a matched ﬁlter to gather up all the transmitted energy. (a) What is the impulse response of the matched ﬁlter? (b) Compute SINR for the matched ﬁlter. (c) What is the maximum probability of error when a matched ﬁlter is used? How does your answer compare to that of Problem 2(a)?...
View Full Document
- Spring '09
- Normal Distribution, error probability, Gaussian function, discrete-time model, maximum probability