Title
Z-transform of quantized ramp signal
Abstract
The z-transform of a ramp signal, with a rational slope, which is quantized by rounding down using the floor function, or rounding up using the ceiling function, is computed explicitly. The principles of rational sampling rate conversion are employed in modeling the signal. A multirate sample rate conversion system and a single-rate infinite impulse response (IIR) digital filter are also proposed for the division-free generation of the signal. The systems involve integer coefficients and operate using integer arithmetic. To produce a quantized ramp signal with a zero-valued intercept, the multirate system requires no form of multiplication.
Year
DOI
Venue
2005
10.1109/TSP.2004.838957
IEEE Transactions on Signal Processing
Keywords
Field
DocType
integer coefficient,integer arithmetic,quantized ramp signal,multirate system,floor function,ceiling function,rational sampling rate conversion,ramp signal,rational slope,multirate sample rate conversion,z transforms,digital filter,infinite impulse response
Z-transform,Digital filter,Sample rate conversion,Control theory,Sampling (signal processing),Infinite impulse response,Rounding,Multiplication,Quantization (signal processing),Mathematics
Journal
Volume
Issue
ISSN
53
1
1053-587X
Citations 
PageRank 
References 
1
0.41
1
Authors
3
Name
Order
Citations
PageRank
S. Samadi110612.83
M.O. Ahmad210.41
M. N. Swamy310418.85