A sinusoidal message signal is converted to a PCM signal using a unifo...
Concept:
SNR (Signal to Noise Ratio) for a sinusoidal message signal Quantized uniformly with ‘n’ bits in given by; SNRAB = 6n + 1.8
Calculation: Given, SNR = 40 dB, required at the output;
So, 40 ≤ 6n + 1.8
6n ≥ 40 – 1.8
n ≥ 6.366
So, the minimum number of bits per sample needed to achieve the derived SQNR is 7 bits
View all questions of this testA sinusoidal message signal is converted to a PCM signal using a unifo...
Calculation of Minimum Number of Bits per Sample
Given:
Signal-to-quantization noise ratio (SQNR) = 40 dB
Formula:
SQNR = 6.02 * N + 1.76 dB, where N is the number of bits per sample
Calculation:
40 = 6.02 * N + 1.76
38.24 = 6.02 * N
N ≈ 6.35
Minimum number of bits per sample needed = 7
Therefore, the minimum number of bits per sample needed to achieve the desired SQNR of 40 dB is 7.