• Moving Average FiltersMoving Average Filters

    The moving average is the most common filter in DSP, mainly because it is the easiest digital filter to understand and use. In spite of its simplicity, the moving average filter is optimal for a common task: reducing random noise while retaining a sharp step response. This makes it the premier filter for time domain encoded signals. However, the mo...

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  • Windowed  Sinc FiltersWindowed Sinc Filters

    Windowed-sinc filters are used to separate one band of frequencies from another. They are very stable, produce few surprises, and can be pushed to incredible performance levels. These exceptional frequency domain characteristics are obtained at the expense of poor performance in the time domain, including excessive ripple and overshoot in the step ...

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  • Custom FiltersCustom Filters

    Most filters have one of the four standard frequency responses: low-pass, high-pass, band-pass or band-reject. This chapter presents a general method of designing digital filters with an arbitrary frequency response, tailored to the needs of your particular application. DSP excels in this area, solving problems that are far above the capabilities o...

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  • FFT ConvolutionFFT Convolution

    This chapter presents two important DSP techniques, the overlap-add method, and FFT convolution. The overlap-add method is used to break long signals into smaller segments for easier processing. FFT convolution uses the overlap-add method together with the Fast Fourier Transform, allowing signals to be convolved by multiplying their frequency spect...

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  • Giảo trình lý thuyết và bài tập pascalGiảo trình lý thuyết và bài tập pascal

    Program PTB2; Var a,b,c:Integer; delta,x1,x2:Real; Begin Writeln('GIAI PHUONG TRINH BAC HAI'); Writeln(' --------------'); Repeat Write('-Nhap he so a= '); Readln(a); Until a <>0; Write('-Nhap he so b= '); Readln(b); Write('-Nhap he so c= '); Readln(c); delta:=b*b-4*a*c; If delta < 0 Then Writeln('*Phuong trinh vo nghiem') ...

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  • Recursive FiltersRecursive Filters

    Recursive filters are an efficient way of achieving a long impulse response, without having to perform a long convolution. They execute very rapidly, but have less performance and flexibility than other digital filters. Recursive filters are also called Infinite Impulse Response (IIR) filters, since their impulse responses are composed of decaying ...

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  • Chebyshev FiltersChebyshev Filters

    Chebyshev filters are used to separate one band of frequencies from another. Although they cannot match the performance of the windowed-sinc filter, they are more than adequate for many applications. The primary attribute of Chebyshev filters is their speed, typically more than an order of magnitude faster than the windowed-sinc. This is because th...

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  • Filter ComparisonFilter Comparison

    Decisions, decisions, decisions! With all these filters to choose from, how do you know which to use? This chapter is a head-to-head competition between filters; we'll select champions from each side and let them fight it out. In the first match, digital filters are pitted against analog filters to see which technology is best. In the second round,...

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  • Audio ProcessingAudio Processing

    Audio processing covers many diverse fields, all involved in presenting sound to human listeners. Three areas are prominent: (1) high fidelity music reproduction, such as in audio compact discs, (2) voice telecommunications, another name for telephone networks, and (3) synthetic speech, where computers generate and recognize human voice patterns. W...

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  • Fourier Transform PairsFourier Transform Pairs

    For every time domain waveform there is a corresponding frequency domain waveform, and vice versa. For example, a rectangular pulse in the time domain coincides with a sinc function [i.e., sin(x)/x] in the frequency domain. Duality provides that the reverse is also true; a rectangular pulse in the frequency domain matches a sinc function in the tim...

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