Title :
Design of Modulated Filter Banks and Transmultiplexers With Unified Initial Solutions and Very Few Unknown Parameters
Author :
Eghbali, Amir ; Johansson, Hakan
Author_Institution :
Thyselius AB, Huawei Technol. Sweden AB, Gothenburg, Sweden
Abstract :
This brief proposes a method for designing modulated filter banks (FBs) with a large number of channels. The impulse response of the long prototype filter is parameterized in terms of a few short impulse responses, thus significantly reducing the number of unknown parameters. The proposed method starts by first obtaining an FB with a few channels. The solution of this FB is then partly reused as an initial (very close to final) solution in the design of FBs with a large number of channels. The number of unknown parameters hence drastically reduces. For example, we can first design a cosine modulated FB (CMFB) with three channels whose prototype filter has a stopband attenuation of about 40 dB. We can then reuse the solution of this CMFB in the design of a CMFB with 16 384 channels whose prototype filter has a similar stopband attenuation. With our proposed method, we need to reoptimize only 14 parameters to design the CMFB with 16 384 channels.
Keywords :
channel bank filters; linear phase filters; transient response; cosine modulated filter banks; filter design; impulse response; linear-phase filters; transmultiplexers; Algorithm design and analysis; Complexity theory; Finite impulse response filters; Prototypes; Filter Banks; Filter Design; Filter banks (FBs); Linear-Phase Filters; Transmultiplexers; filter design; linear-phase filters; transmultiplexers (TMUXs);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2014.2387678