Problem 1: A baseband digital communication system employs the transmission: s₁ (t) = A[u(t)- u(t - T)]; following signals for transmission:

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Problem 1: A baseband digital communication system employs the
following signals for transmission: s₁ (t) = A[u(t)- u(t-T)];
S₂ (t) = 2A[u(t)-u(t-T)]; and s3 (t) = 3A[u(t)- u(t - T)].
1. Find an appropriate orthonormal basis for the representation of
the signals.
2. Plot the constellation diagram in term of average symbol power.
3. Draw the decision regions.
4. In a block diagram, give the precise specifications of the optimal
receiver using matched filters. Label the block diagram carefully.
No
5. Find the error probability considering AWGN channel of power-
spectral density. Consider = 100.
No
Transcribed Image Text:Problem 1: A baseband digital communication system employs the following signals for transmission: s₁ (t) = A[u(t)- u(t-T)]; S₂ (t) = 2A[u(t)-u(t-T)]; and s3 (t) = 3A[u(t)- u(t - T)]. 1. Find an appropriate orthonormal basis for the representation of the signals. 2. Plot the constellation diagram in term of average symbol power. 3. Draw the decision regions. 4. In a block diagram, give the precise specifications of the optimal receiver using matched filters. Label the block diagram carefully. No 5. Find the error probability considering AWGN channel of power- spectral density. Consider = 100. No
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