TY - JOUR
T1 - Hardware-Efficient Decimation with Spectral Shape Approximating the Nth Power of a Dirichlet Kernel
AU - Troncoso Romero, David Ernesto
AU - Cruz Jiménez, Miriam Guadalupe
AU - Meyer-Baese, Uwe
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2022/9
Y1 - 2022/9
N2 - In this paper, we introduce a proper approximation of the amplitude response of a digital filter to the Nth power of a Dirichlet kernel, which allows for the construction of efficient decimation architectures. We present an explicit formula to compute how this approximation affects the worst-case aliasing attenuation in the resulting spectral shape with respect to the exact function, such that the user can identify if the proposed approach is convenient for any given specifications. Additionally, a couple of digital decimation architectures are derived from this approximation. These architectures possess the easy reconfiguration capability of the state-of-the-art Cascaded Integrator-Comb (CIC) exact solution while exhibiting a higher maximum frequency of operation and a reduced utilization of hardware resources without practically affecting power consumption.
AB - In this paper, we introduce a proper approximation of the amplitude response of a digital filter to the Nth power of a Dirichlet kernel, which allows for the construction of efficient decimation architectures. We present an explicit formula to compute how this approximation affects the worst-case aliasing attenuation in the resulting spectral shape with respect to the exact function, such that the user can identify if the proposed approach is convenient for any given specifications. Additionally, a couple of digital decimation architectures are derived from this approximation. These architectures possess the easy reconfiguration capability of the state-of-the-art Cascaded Integrator-Comb (CIC) exact solution while exhibiting a higher maximum frequency of operation and a reduced utilization of hardware resources without practically affecting power consumption.
KW - CIC Filters
KW - Decimation
KW - Digital Filters
KW - Dirichlet kernel
KW - Multirate signal processing
UR - http://www.scopus.com/inward/record.url?scp=85127372511&partnerID=8YFLogxK
U2 - 10.1007/s00034-022-02009-3
DO - 10.1007/s00034-022-02009-3
M3 - Artículo
AN - SCOPUS:85127372511
SN - 0278-081X
VL - 41
SP - 4886
EP - 4905
JO - Circuits, Systems, and Signal Processing
JF - Circuits, Systems, and Signal Processing
IS - 9
ER -