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The basic elements in digital signal processing are an analog to digital converter, digital signal processor, and digital to analog converter. This process can take an analog input signal, convert it to digital for processing and offer an analog output.
we can do analog signal processing also but it is very expensive as comparing with digital signal processing that's why we generally choose the digital signal processing.DSP allows programmable operations.But we cannot do in ASP.
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Decimation in digital processing is the process wherein sampling rate of a signal is reduced. An increase in sample rate is complementary to interpolation.
we have to do sampling in dsp because in dsp we have to convert all in analog signal in digital form so for converting into digital signal first we have to convert continuous tome signal into discrete time signal....so we use samplin in dsp...