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# Homework_1 - 1 EE113 Homework 1 Problem 1.2 Consider the...

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Unformatted text preview: 1 EE113 Homework 1 Problem 1.2 Consider the continuous-time signal x ( t ) = 0 . 5 sin(2 πt + π 3 ) , where t is in seconds. Plot the samples of the sequence x ( n ) that are obtained by sampling x ( t ) at multiples of T = 0 . 25 second over the interval t ∈ [0 , 3] . Problem 1.4 Fig 1.14 (from Prob. 1.3) shows the samples of a sequence, x ( n ) , over the interval ≤ n ≤ 7 . Plot the quantized version, x q ( n ) , according to the mapping of Fig. 1.5 and assuming Δ = 1 / 2 . Write down the resulting bit sequence. Problem 1.6 Refer to the quantization procedure described in Fig. 1.5. Assume Δ = 1 / 8 . Determine the samples x q ( n ) that correspond to the following sequence of bits (assume the first sample occurs at n = 0 ): 001100110101101111100011110101001000001 How many samples are represented in this sequence of bits? How many bits would you need to represent 2048 samples of x ( n ) ?...
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Homework_1 - 1 EE113 Homework 1 Problem 1.2 Consider the...

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