Design of computationally efficient 2D FIR filters using sampling‐kernel‐based interpolation and frequency transformation

2015 ◽  
Vol 51 (17) ◽  
pp. 1326-1328 ◽  
Author(s):  
K.J. Kim ◽  
J.H. Kim ◽  
S.W. Nam
Keyword(s):  
Fir Filters ◽  
Computationally Efficient ◽  
Frequency Transformation ◽  
2D Fir Filters

scholarly journals Gaussian Circular 2D FIR Filters Designed Using Analytical Approach

2020 ◽  
Vol 16 ◽  
Keyword(s):  
Analytical Approach ◽  
Design Procedure ◽  
Peak Frequency ◽  
Fir Filters ◽  
Chebyshev Series ◽  
Analytical Design ◽  
Frequency Transformation ◽  
Low Pass ◽  
Band Pass ◽  
2D Fir Filters

This paper proposes an analytical design procedure for a particular class of 2D filters, namelyGaussian-shaped, circularly-symmetric FIR filters. We approach both low-pass and band-pass circular filters,which are adjustable in selectivity and peak frequency. The design starts from a given 1D Gaussian prototypefilter, approximated using the Chebyshev series. A frequency transformation is applied to derive the circularfilter. Several design examples are provided for both types of filters. The filters designed through this methodare efficient, their frequency response results in a factored or nested form, convenient for implementation.

scholarly journals Design of Cut off-Frequency Fixing Filters by Error Compensation of MAXFLAT FIR Filters

Electronics ◽  
2021 ◽  
Vol 10 (5) ◽  
pp. 553
Author(s):  
Daewon Chung ◽  
Woon Cho ◽  
Inyeob Jeong ◽  
Joonhyeon Jeon
Keyword(s):  
Closed Form ◽  
Error Compensation ◽  
Finite Impulse Response ◽  
Cutoff Frequency ◽  
Closed Form Solution ◽  
Form Solution ◽  
Fir Filters ◽  
Frequency Error ◽  
Computationally Efficient ◽  
Filter Type

Maximally-flat (MAXFLAT) finite impulse response (FIR) filters often face a problem of the cutoff-frequency error due to approximation of the desired frequency response by some closed-form solution. So far, there have been plenty of efforts to design such a filter with an arbitrarily specified cut off-frequency, but this filter type requires extensive computation and is not MAXFLAT anymore. Thus, a computationally efficient and effective design is needed for highly accurate filters with desired frequency characteristics. This paper describes a new method for designing cutoff-frequency-fixing FIR filters through the cutoff-frequency error compensation of MAXFLAT FIR filters. The proposed method provides a closed-form Chebyshev polynomial containing a cutoff-error compensation function, which can characterize the “cutoff-error-free” filters in terms of the degree of flatness for a given order of filter and cut off-frequency. This method also allows a computationally efficient and accurate formula to directly determine the degree of flatness, so that this filter type has a flat magnitude characteristic both in the passband and the stopband. The remarkable effectiveness of the proposed method in design efficiency and accuracy is clearly demonstrated through various examples, indicating that the cutoff-fixing filters exhibit amplitude distortion error of less than 10−14 and no cut off-frequency error. This new approach is shown to provide significant advantages over the previous works in design flexibility and accuracy.

An Excellent 2D Window Function

2014 ◽  
Vol 651-653 ◽  
pp. 2116-2120
Author(s):  
Yun Long Wang ◽  
Shi Hu Wang
Keyword(s):  
Matrix Equation ◽  
Window Function ◽  
Fir Filters ◽  
2D Fir Filters ◽  
Sinc Sum

In the aid of sinc sum function and matrix equation a new 2D window function is obtained. It is as simple as a 2D cosine window function. Comparison shows that the new 2D window function can provide much better 2D FIR filters than 2D Hamming window function. Maximum passband ripples are about 2.5-3.5 times smaller and maximum stopband ripples are about 1.5 times smaller with equal or very small different passband and stopband edge frequencies.

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