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ECE405HW7Su2010

# ECE405HW7Su2010 - ECE 405 HOMEWORK#7 SUMMER 2010 DR JAMES S...

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ECE 405 HOMEWORK #7 SUMMER 2010 ©DR. JAMES S. KANG 1 The peak value of a message m(t) is 16V. Thus, –16V m(t) 16V. A particular sample of this message is –8.7V. (a) Determine the 8 bit offset binary code corresponding to this sample when no compression is used. (b) Determine the 8 bit sign and magnitude code corresponding to this sample when no compression is used. (c) Determine the 8 bit 2's complement code corresponding to this sample when no compression is used. (d) Determine the 8 bit 1's complement code corresponding to this sample when no compression is used. 2 The peak value of a message m(t) is 16V. Thus, –16V m(t) 16V. A particular sample of this message is –8.7V. (a) Determine the 8 bit offset binary code corresponding to this sample when μ -law compression with μ = 255 is used. (b) Determine the 8 bit sign and magnitude code corresponding to this sample when μ -law compression with μ = 255 is used. (c) Determine the 8 bit 2's complement code corresponding to this sample when μ -law compression with μ = 255 is used. (d) Determine the 8 bit 1's complement code corresponding to this sample when μ -law compression with μ = 255 is used. 3 The peak value of a message m(t) is 16V. Thus, –16V m(t) 16V. This message is encoded into 11 bit binary sequence. Find the signal-to-quantization-noise-ratio in dB when the message amplitude is assumed to be uniformly distributed in the range (–m p , m p ) and (a) no compression is used. (b) μ -law compression with μ = 255 is used. 4 The peak value of a message m(t) is 16V. Thus, –16V m(t) 16V. This message is encoded into 11 bit binary sequence.

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ECE405HW7Su2010 - ECE 405 HOMEWORK#7 SUMMER 2010 DR JAMES S...

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