A new modular VLSI filter architecture using computationally efficient recursive digital filter topology

Jarvilehto, P.; Estola, K.-P.

doi:10.1109/iscas.1988.15167

Cited by 11 publications

(2 citation statements)

References 2 publications

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“…The loss characteristics for the system using are shown in Fig. 12, where the deviation from the theoretical value are less than 10 dB in the passband and 5 10 dB in the stopband. Total harmonic distortions (THD) in the system output are measured in response to a sinusoidal input where , and .…”

Section: Simulationmentioning

confidence: 96%

A technique to truncate IIR filter impulse response and its application to real-time implementation of linear-phase IIR filters

Kurosu

Miyase

Tomiyama

et al. 2003

IEEE Trans. Signal Process.

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A technique for realizing linear-phase infinite impulse response (IIR) filters has been proposed by Powell and Chau and gives a real-time implementation of ( 1 ) ( ), where ( ) is a causal IIR filter function. In their system, the input signal is divided into -sample sections, time-reversed, section convolved with ( ), and time-reversed again. The signal is then filtered by ( ) to give the system output with a processing delay of 3 + 1 samples. However, the group delay response of the system exhibits a minor sinusoidal variation superimposed on some constant value. This variation will degrade image quality in image processing and signal quality in signal transmission applications. Furthermore, the output of the system contains harmonic distortion for a sinusoidal input. The main drawbacks of Powell and Chau's technique are the large processing delay of 3 + 1 samples and the accompanying phase and harmonic distortions. A smaller processing delay increases the phase and harmonic distortions, yet the amplitude response remains acceptable. Previously, the present authors presented a method of reducing the processing delay by shortening the section length by an integer factor using a structure with increased number of paths for the time-reversed signal. In this paper, the authors consider how to reduce the phase and harmonic distortions. We examined the operation of the sectioned convolution and analyzed it based on a state-space representation. Then, we found that the cause of the distortions is a periodic variation of the impulse response length in the sectioned convolution. To overcome this problem, a technique is devised to realize a recursive circuit having a truncated impulse response with a fixed-length . A system applying this technique to the Powell-Chau system is demonstrated to exhibit perfect linear-phase characteristic and produce virtually no harmonic distortion. Therefore, the section length can be reduced without limitation due to phase and harmonic distortions. Two methods for reducing the increased computational complexity of this technique assuming fixed are developed, and simulations are performed for the proposed system to confirm the expected improvements.

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Section: Simulationmentioning

confidence: 96%

A technique to truncate IIR filter impulse response and its application to real-time implementation of linear-phase IIR filters

Kurosu

Miyase

Tomiyama

et al. 2003

IEEE Trans. Signal Process.

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“…One effect of the truncation under this condition is the addition of a ripple in the passband response. To help counteract this effect, [5] suggests placing a ripple correction filter in parallel with the actual filter. In the two-pass filtering case for implementing…”

Section: Finite Section Length Effectsmentioning

confidence: 99%

A technique for realizing linear phase IIR filters

Powell

Chau

1991

IEEE Trans. Signal Process.

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A new real-time IIR filter s t r u c t u r e is presented t h a t possesses exact phase linearity with 10 -1000 times fewer general multiplies t h a n conventional FIR filters of similar performance a n d better magnitude characteristics t h a n equiripple o r maximally flat g r o u p delay IIR filters. This s t r u c t u r e is based on a novel technique using local time reversal a n d single pass sectioned convolution methods to realize a real-time recursive implementation of the noncausal t r a n s f e r function H ( 2 -l ) . When combined with a causal recursive filter, the precisely line a r phase t r a n s f e r function H(z) . H ( 2 -I ) results with fewer multiplies a n d significantly reduced storage requirements t h a n previously reported noncausal recursive approaches. No constraints a r e placed on t h e magnitude o r phase response c h a racteristics of H(z). T h e new linear phase IIR filter can be designed using s t a n d a r d magnitude-only IIR filter design programs a n d c a n be m a d e unconditionally f r e e f r o m parasitic zero-input limit cycle or overflow oscillations. T h e resulting g r o u p delay is typically constant to within of the average delay. F o r a given filter specification, t h e n u m b e r of multiplies per sample is typically within a factor of two a n d the roundoff noise within one-half bit of a causal magnitude-only elliptic IIR implementation. C o m p u t e r simulations a r e used to verify t h e expected phase linearity a n d magnitude response. A design a pproach is presented including a technique f o r establishing t h e n u m b e r of samples per convolution section necessary to i n s u r e t h a t a time invariant system results with linear phase a n d magnitude response equal to ! H(z)/'. T h e relationship between t h e n u m b e r of samples per convolution section a n d t h e total h a rmonic distortion of t h e system is also verified through simulation. A comparison to direct FIR implementations f o r nine example filter specifications is presented to demonstrate t h e computational advantage of the new linear phase IIR s t r u c t u r e .

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A new method for designing efficient linear phase recursive filters

Arias-de-Reyna¹,

José²

2004

Digital Signal Processing

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A new modular VLSI filter architecture using computationally efficient recursive digital filter topology

Cited by 11 publications

References 2 publications

A technique to truncate IIR filter impulse response and its application to real-time implementation of linear-phase IIR filters

A technique to truncate IIR filter impulse response and its application to real-time implementation of linear-phase IIR filters

A technique for realizing linear phase IIR filters

A new method for designing efficient linear phase recursive filters

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