ch3_1.1.pdf - Digital Processing of Continuous-Time Signals Digital Processing of Continuous-Time Signals • Digital processing of a continuous-time

ch3_1.1.pdf - Digital Processing of Continuous-Time Signals...

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1 Copyright © 2001, S. K. Mitra 1 Digital Processing of Continuous-Time Signals Digital processing of a continuous-time signal involves the following basic steps: (1) Conversion of the continuous-time signal into a discrete-time signal , (2) Processing of the discrete-time signal, (3) Conversion of the processed discrete- time signal back into a continuous-time signal 2 Copyright © 2001, S. K. Mitra 2 Digital Processing of Digital Processing of Continuous-Time Signals Continuous-Time Signals Conversion of a continuous-time signal into digital form is carried out by an analog-to- digital ( A/D ) converter The reverse operation of converting a digital signal into a continuous-time signal is performed by a digital-to-analog ( D/A ) converter 3 Copyright © 2001, S. K. Mitra 3 Digital Processing of Digital Processing of Continuous-Time Signals Since the A/D conversion takes a finite amount of time, a sample-and-hold ( S/H ) circuit is used to ensure that the analog signal at the input of the A/D converter remains constant in amplitude until the conversion is complete to minimize the error in its representation 4 Copyright © 2001, S. K. Mitra 4 Digital Processing of Digital Processing of Continuos-Time Signals To prevent aliasing, an analog anti-aliasing filter is employed before the S/H circuit To smooth the output signal of the D/A converter, which has a staircase-like waveform, an analog reconstruction filter is used
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5 Copyright © 2001, S. K. Mitra 5 Digital Processing of Digital Processing of Continuous-Time Signals Continuous-Time Signals Complete block-diagram Since both the anti-aliasing filter and the reconstruction filter are analog lowpass filters, we review first the theory behind the design of such filters Also, the most widely used IIR digital filter design method is based on the conversion of an analog lowpass prototype Anti- aliasing filter S/H A/D D/A Digital processor Reconstruction filter 6 Copyright © 2001, S. K. Mitra 6 Sampling of Continuous-Time Sampling of Continuous-Time Signals Signals As indicated earlier, discrete-time signals in many applications are generated by sampling continuous-time signals We have seen earlier that identical discrete- time signals may result from the sampling of more than one distinct continuous-time function 7 Copyright © 2001, S. K. Mitra 7 Sampling of Continuous-Time
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