We look at the design of a class of oversampled filter banks and the resulting framelets. The oversampled property is achieved via an extra subband resulting in Double Density Filter Banks (DDFB’s). We design a class of such filters with linear phase property. We will look at a special class of framelets from a filter bank perspective, in that we will design double density filter banks (DDFB’s)...

(b) There are several ways to construct linear-phase FIR filters, including windowing the IDTFT of an ideal response, but in order to ensure a minimax-optimal filter (i.e., a filter that minimizes the maximum deviation from a piecewise-constant ideal specification), the way we know is via the Parks-McClellan approach. In fact. this filter was designed in Matlab as: >> h = firpm(8, [0 0.55 0.65 ...

Figure 1 illustrates some filter banks learned on the DRIVE dataset. In particular, it shows how an example learned filter bank can be replaced by its rank-1 approximation obtained using the SVD decomposition (SEP-SVD). Figure 2 shows examples of 3D filter banks learned on the OPF dataset. In Figure 3 the central slice of the filter banks are given for a better comparison. We report the detaile...

In this paper, a novel technique for the design of two-channel Quadrature Mirror Filter (QMF) banks with linear phase in frequency domain is presented. To satisfy the exact reconstruction condition of the filter bank, low-pass prototype filter response in pass-band, transition band and stop band is optimized using unconstrained indirect update optimization method. The objective function is form...

Abstract— In this paper a high performance Bandpass micro strip filter is presented. The filter is designed using interdigital bandpass filter to improve the performance of Bandpass filter. The designed filter is based on 5th order chebyshev low pass prototype with .1 dB passband ripples. The filter operates with passband from 2GHz-4 GHz, produces a fractional bandwidth of 66%. The filter is de...

This paper provides a gentle introduction to the Kalman filter, a numerical method that can be used for sensor fusion or for calculation of trajectories. First, we consider the Kalman filter for a one-dimensional system. The main idea is that the Kalman filter is simply a linear weighted average of two sensor values. Then, we show that the general case has a similar structure and that the mathe...