[Q4] A baseband signal (band-limited to 5kHz) is sampled at 20% over the Nyquist rate and coded using a PCM system having a 128 levels quantizer. The binary data is sent through a 2.5km transmission channel after been modulated as MPSK. The bandwidth of this channel is set to be 78% of the operating binary rate. Assume the power spectral density of the noise is 2nW/Hz per km, calculate the required minimum r.m.s. power of the received signal (in dB) to ensure the operating BER is not worse than 78 error bits per second. (Use TB21.9). a ob (1+²1²
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
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