A separation theorem for finite precision digital filters

1995 ◽  
Vol 42 (9) ◽  
pp. 541-545 ◽  
Author(s):  
K.K. Johnson ◽  
I.W. Sandberg
Keyword(s):  
Digital Filters ◽  
Separation Theorem ◽  
Finite Precision

Fast optimum design of IIR digital filters with finite precision coefficients

1984 ◽  
Vol 57 (2) ◽  
pp. 207-216 ◽  
Author(s):  
STAVROS J. VAROUFAKIS ◽  
ANASTASIOS N. VENETSANOPOULOS
Keyword(s):  
Optimum Design ◽  
Digital Filters ◽  
Finite Precision ◽  
Iir Digital Filters

scholarly journals Some Remarks about Entropy of Digital Filtered Signals

Entropy ◽  
2020 ◽  
Vol 22 (3) ◽  
pp. 365
Author(s):  
Vinícius S. Borges ◽  
Erivelton G. Nepomuceno ◽  
Carlos A. Duque ◽  
Denis N. Butusov
Keyword(s):  
Additional Condition ◽  
Word Length ◽  
Digital Filters ◽  
Significant Positive Correlation ◽  
Signal To Noise Ratio ◽  
Number Representation ◽  
Signal To Noise ◽  
Finite Precision ◽  
Elliptic Filter ◽  
Numerical Resolution

The finite numerical resolution of digital number representation has an impact on the properties of filters. Much effort has been done to develop efficient digital filters investigating the effects in the frequency response. However, it seems that there is less attention to the influence in the entropy by digital filtered signals due to the finite precision. To contribute in such a direction, this manuscript presents some remarks about the entropy of filtered signals. Three types of filters are investigated: Butterworth, Chebyshev, and elliptic. Using a boundary technique, the parameters of the filters are evaluated according to the word length of 16 or 32 bits. It has been shown that filtered signals have their entropy increased even if the filters are linear. A significant positive correlation (p < 0.05) was observed between order and Shannon entropy of the filtered signal using the elliptic filter. Comparing to signal-to-noise ratio, entropy seems more efficient at detecting the increasing of noise in a filtered signal. Such knowledge can be used as an additional condition for designing digital filters.

A separation theorem for finite-precision digital systems

1997 ◽  
Vol 16 (1) ◽  
pp. 107-119
Author(s):  
Kelly K. Johnson ◽  
Irwin W. Sandberg
Keyword(s):  
Separation Theorem ◽  
Digital Systems ◽  
Finite Precision

Effects of finite precision in two-dimensional recursive digital filters†

1985 ◽  
Vol 58 (1) ◽  
pp. 159-174 ◽  
Author(s):  
A. N. VENETSANOPOULOS ◽  
B. G. MERTZIOS ◽  
S. H. MNENEY
Keyword(s):  
Digital Filters ◽  
Two Dimensional ◽  
Finite Precision ◽  
Recursive Digital Filters

ORBIT-PERIODS IN SECOND-ORDER FINITE-PRECISION DIGITAL FILTERS WITH OVERFLOW

1999 ◽  
Vol 09 (08) ◽  
pp. 1669-1674 ◽  
Author(s):  
W. G. CHAMBERS
Keyword(s):  
Digital Filters ◽  
Finite State Machine ◽  
State Machine ◽  
Second Order ◽  
State Function ◽  
Finite Precision ◽  
Random Mapping ◽  
Finite State ◽  
Rough Theory

The effect of n-bit precision on the orbit-periods of second-order lossless overflowing digital filters is discussed. It is observed that there are of the order of 2n orbits with periods O(2n), whereas in a random finite-state machine with the same number (2n)2 of states and with an invertible next-state function there are a few large orbits with periods O((2n)2). This behavior persists when the coefficient multiplication is replaced by a random mapping. This "randomized" model is readily understood and so provides a rough theory of the orbit-periods.

scholarly journals DESIGN OF FIR FILTER USING LOOK UP TABLE AND MEMORY BASED APPROACH

2015 ◽  
pp. 103-106
Author(s):  
A. SIRISHA ◽  
P. BALANAGU ◽  
N. SURESH BABU
Keyword(s):  
Digital Filters ◽  
Finite Impulse Response ◽  
Logic Gate ◽  
Fir Filter ◽  
Analog Filters ◽  
Finite Precision ◽  
Filter Performance ◽  
Look Up Table ◽  
Gate Count ◽  
Finite Precision Arithmetic

The main objective of this Paper is to develop Finite Impulse Response (FIR) Filter using look-up table (LUT) and memory based processor. The configuration is to reduce memory size, logic gate count and improve the speed of operation. Digital filters are becoming ubiquitous in audio applications. As a result, good digital filter performance is important to audio system design. Digital filters differ from conventional analog filters by their use of finite precision to represent signals and coefficients and finite precision arithmetic to compute the filter response. In this Paper, FIR filter is implemented in Xilinx ise using VHDL language. VHDL coding for the FIR filter is implemented in this Paper and waveforms are observed through simulation.

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