In Digital Signal Processing, there are different applications are found for Filters. The filters are categorised and designed as IIR filter or FIR filter for different applications dependent upon impulse response. In this paper a notch filter is designed of high quality factor to cut specifically 100Hz. This notch frequency is chosen because at that frequency some noise may be observed or harm...

Linear recursive filters can be adapted on-line but with instability problems. Stability-control techniques exist, but they are either computationally expensive or nonrobust. For the nonlinear case, e.g., locally recurrent neural networks, the stability of infinite-impulse response (IIR) synapses is often a condition to be satisfied. This brief considers the known reparametrization-for-stabilit...

We present an efficient and novel procedure to design two-dimensional (2D) linear-phase IIR filters with less hardware resource. A 2D linear-phase FIR filter prototype is first designed using semidefinite programming (SDP). The prototype filter is then decomposed into modular structures via Schur decomposition method (SDM). Each section is reduced into IIR structures using a novel digital syste...

In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to s...

In practical settings, the echo cancellation problem generally requires the adaptation of an IIR filter using some optimality criterion. This brings two problems: direct adaptation of numerator and denominator polynomial coefficients of IIR filters might result in unstable systems and/or the optimization might result in a suboptimal local minimum of the criterion. These two issues are addressed...

– Filter, any modification of the signal according to design specifications. – Frequency selectivity – Causal filters (real time without delay) – Note ideal filters are not realizable. We can’t have perfect magnitude response. For example, the ideal low pass filter is not realizable because it requires infinite length sinc function. We would like causal filters: – IIR ok – FIR sometimes even be...

In this article we propose a structured IIR model for HRTF filters that can be applied to multi-user binaural soundscape rendering of virtual sound sources moving continuously in 3D space. A motivation for using low-order IIR models in HRTF interpolation is to trade some reasonable amount of soundscape fidelity for computational performance. Two strategies for interpolation of these IIRmodels a...

The frequency-response masking approach for highspeed recursive infinite-impulse response (IIR) digital filters is introduced. In this approach, the overall filter consists of a periodic model filter, its power-complementary periodic filter, and two masking filters. The model filters are composed of two all-pass filters in parallel, whereas the masking filters are linear-phase finite-impulse re...

This paper studies the design of frequency response masking (FRM) filters with infinite duration impulse response (IIR) model and masking sub-filters. They are useful in realizing sharp cutoff digital filters with low passband delays. The designs of the model and masking filters are carried out by means of semidefinite programming (SDP) and model order reduction. Design results show that low co...