The Physical Explanation of FIR Digital Low Pass Filter
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Using the calculating and mapping function of the MATLAB,considering the characteristics of digital signal processing,this paper analyzes the physical significance of the convolution operation in time domain and the productive operation in frequency domain with the digital low pass filter as an exemplification.Keywords:
Exemplification
Convolution (computer science)
Half-band filter
SIGNAL (programming language)
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Aiming at the numerical signal handles of characteristics,with numeral low filter for example,analyzed signal through system at area book mathematics which accumulate operation and the frequency domain product operation analysis process.
Numeral system
SIGNAL (programming language)
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This paper presents interpolation filter design for the multichannel VSB signal generator. To combine multi-channel signal sources in digital domain, the baseband signal is up-sampled and interpolated using the designed modified Farrow-type filter. The resulting filter contains small number of multipliers with good image signal suppression capability.
SIGNAL (programming language)
Interpolation
Reconstruction filter
Filter bank
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SIGNAL (programming language)
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In this brief, an efficient implementation of reconfigurable warped digital filter with variable low-pass, high-pass, bandpass, and bandstop responses is presented. The warped filters, obtained by replacing each unit delay of a digital filter with an all-pass filter, are widely used for various audio processing applications. However, warped filters require first-order all-pass transformation to obtain variable low-pass or high-pass responses, and second-order all-pass transformation to obtain variable bandpass or bandstop responses. To overcome this drawback, the proposed method combines the warped filters with the coefficient decimation technique. The proposed architecture provides variable low-pass or high-pass responses with fine control over cut-off frequency and variable bandwidth bandpass or bandstop responses at an arbitrary center frequency without updating the filter coefficients or filter structure. The design example shows that the proposed variable digital filter is simple to design and offers substantial savings in gate counts and power consumption over other approaches.
Half-band filter
Center frequency
Voltage-controlled filter
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Finite impulse response
Butterworth filter
Wiener filter
Raised-cosine filter
Composite image filter
Half-band filter
Linear filter
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According to the design basic principle of FIR digital filter,using MATLAB to achieve the Mathematic Approximation principle,process the simulation with the method of FIR digital filter designed by Window Function.By analysising the results,in the same order,optimizing design can achieve the optimum characteristic of the frequency and exitinction,which the passband and suppressed frequency band are smooth and transition band is narrow.IIR filter,designed by double linear transform,can be used in the field of image processing.
Window function
Passband
Finite impulse response
Half-band filter
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The paper introduces the design method of the digital filter, comparatively analyzing the window function by an example.
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Filter is one of the most important part of communication system.Without digital filter we cannot think about proper communication because noise occurs in channel.For removing noise or cancellation of noise we use various type of digital filter.In this paper we propose design technique of bandpass FIR filter using various type of window function.Kaiser window is the best window function in FIR filter design.Using this window we can realize that FIR filter is simple and fast.
Window function
Finite impulse response
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A 2 chip digital multi-rate FIR filter implemented in 2 micron CMOS performs 10 million multiplications and 20 million accumulations per second. The filter has 48 programmable bandwidths in a 1-2-5 sequence, and can either interpolate or decimate. This paper describes the design and implementation of the filter.
Decimation
Finite impulse response
Interpolation
Half-band filter
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This is an extension research of [1]. In [1], frequency scaling of adaptive digital filter design algorithm is proposed. The pole placement technique is used to achieve the frequency scaling of adaptive digital filter design. In this paper, the same concept is applied for a fast way to design adaptive high-pass filters. Frequency transformation is used to transfer low-pass prototype filter into high-pass filter. State feedback is used to shift poles of the original low-pass prototype filter to the desired poles location so that a high-pass filter which has the desired passband and the desired cut-off frequency can be obtained. The responses of the frequency transformed high-pass filters and the responses of the state feedback digital controlled high-pass filters are also compared to show the feasibility of this approach in this paper.
Passband
Voltage-controlled filter
Butterworth filter
Constant k filter
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