TY - JOUR
T1 - Simplified Harmonic Rejection Mixer Analysis and Design Based on a Filtered Periodic Impulse Model
AU - de Boer, Pieter-Tjerk
AU - Oude Alink, Mark Stefan
AU - Klumperink, Eric A.M.
N1 - Publisher Copyright:
IEEE
PY - 2021/7
Y1 - 2021/7
N2 - Hard-switched mixers have attractive linearity and noise properties, but are plagued by spurious responses due to the harmonic content of square-wave local oscillator (LO) signals. Harmonic rejection mixers (HRMs) reject (some of) these responses and can be constructed combining polyphase mixing and amplitude weighting. This brief presents a generalized model for the analysis of the harmonic rejection (HR) of such HRMs, based on circular convolution. We show that the effective LO signal can be modeled as a periodic Dirac impulse filtered by a time-discrete filter. For a multi-stage HR system, this filter consists of multiple stages as well, and the coefficients of each stage can be found simply by inspection. The total HR is shown to be the sum (in dB) of the rejection of the individual filtering stages, highly simplifying analysis and design of HRMs.
AB - Hard-switched mixers have attractive linearity and noise properties, but are plagued by spurious responses due to the harmonic content of square-wave local oscillator (LO) signals. Harmonic rejection mixers (HRMs) reject (some of) these responses and can be constructed combining polyphase mixing and amplitude weighting. This brief presents a generalized model for the analysis of the harmonic rejection (HR) of such HRMs, based on circular convolution. We show that the effective LO signal can be modeled as a periodic Dirac impulse filtered by a time-discrete filter. For a multi-stage HR system, this filter consists of multiple stages as well, and the coefficients of each stage can be found simply by inspection. The total HR is shown to be the sum (in dB) of the rejection of the individual filtering stages, highly simplifying analysis and design of HRMs.
KW - Circular convolution
KW - Frequency conversion
KW - Harmonic rejection
KW - Mixer
KW - circular convolution
KW - Switches
KW - Harmonic analysis
KW - harmonic rejection
KW - Mixers
KW - Power harmonic filters
KW - Analytical models
KW - Convolution
KW - frequency conversion
KW - mixer.
KW - Gain
UR - http://www.scopus.com/inward/record.url?scp=85099727673&partnerID=8YFLogxK
UR - https://research.utwente.nl/en/publications/simplified-harmonic-rejection-mixer-analysis-and-design-based-on-a-filtered-periodic-impulse-model(72292dbc-644d-4455-8e1b-15b054e12282).html
U2 - 10.1109/TCSII.2021.3051769
DO - 10.1109/TCSII.2021.3051769
M3 - Article
VL - 68
SP - 2292
EP - 2296
JO - IEEE transactions on circuits and systems II: express briefs
JF - IEEE transactions on circuits and systems II: express briefs
SN - 1549-7747
IS - 7
M1 - 9324800
ER -