Amplitude-offset invariant template detection for pulse position estimation; methods, systems and program products
First Claim
1. A method of detecting the position in time of a predetermined shape within an analog or digital signal, irrespective of any amplitude modulations and/or offsets within the signal comprising the steps ofstoring a template of length N incorporating a replica of the signal [s(n)] without multipath;
- andreceiving the signal [s(n)] subject to modulation effects A on pulse shape or peak [p(n)] and vertical offset B where “
n”
is representative of a time index or samples of the signal;
correlating the template with the received signal or multiple sample shifts to create a modulation-compensated received signal to estimate modulation effects of A at a particular time, n;
subtracting various sample-shifted versions of the template from the modulation-compensated received signal to produce a corrected modulation-compensated received signal;
calculating the average difference between the template and the corrected modulation-compensated received signal to determine the magnitude of the offset B for a particular time, n; and
determining the squared error between the template, modified by the determined magnitude of the offset B, and the corrected modulation-compensated received signal, assuming the minimum error to correspond to the correct position of the predetermined shape within the signal.
1 Assignment
0 Petitions
Accused Products
Abstract
A method and system of determining and correcting modulation and offset effects in a received signal. A signal [s(n)] is received subject to modulation effects A on pulse shape or peak [p(n)] and vertical offset B due to multipath where “n” is a pulse rate or samples of the signal. A template of length N incorporates a replica of the original signal [s(n)] without multipath or vertical offset. The template is normalized and generates either an extended template or a balanced template. The extended template is correlated with the received signal [s(n)] by shifting the extended template along the received signal to estimate modulation effects of A at a particular time, n. The average difference between the template and the modulated signal [p(n)] is calculated to determine the magnitude of the offset B for a particular time, n.
18 Citations
13 Claims
-
1. A method of detecting the position in time of a predetermined shape within an analog or digital signal, irrespective of any amplitude modulations and/or offsets within the signal comprising the steps of
storing a template of length N incorporating a replica of the signal [s(n)] without multipath; - and
receiving the signal [s(n)] subject to modulation effects A on pulse shape or peak [p(n)] and vertical offset B where “
n”
is representative of a time index or samples of the signal;correlating the template with the received signal or multiple sample shifts to create a modulation-compensated received signal to estimate modulation effects of A at a particular time, n; subtracting various sample-shifted versions of the template from the modulation-compensated received signal to produce a corrected modulation-compensated received signal; calculating the average difference between the template and the corrected modulation-compensated received signal to determine the magnitude of the offset B for a particular time, n; and determining the squared error between the template, modified by the determined magnitude of the offset B, and the corrected modulation-compensated received signal, assuming the minimum error to correspond to the correct position of the predetermined shape within the signal. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
- and
-
9. A method of detecting the time of arrival of received data in a wireless communication system using analog or digital analysis, irrespective of any amplitude modulations and/or DC offsets in the received signal, comprising the steps of:
-
storing a template of length N incorporating a replica of the transmitted signal [s(n)] without multipath; normalizing the template and generating either an extended template (antisymmetric concatenation) or a balanced template (DC-shifting), the integral (analog) or sum (discrete) of which is precisely equal to zero; receiving the modulated signal [s(n)] subject to modulation effects A on pulse shape or peak [p(n)] and vertical offset B due to multipath where “
n”
is representative of a time index or samples of the signal;correlating the extended or balanced template with the received signal for multiple sample shifts to create a modulation-compensated received signal to estimate modulation effects of A at a particular time, n; subtracting various sample-shifted versions of the normalized template from the modulation-compensated received signal to produce a corrected modulation-compensated received signal; calculating the average difference between the normalized template and the corrected modulation-compensated received signal to determine the magnitude of the offset B for a particular time, n; and determining the squared error between the normalized template, modified by the determined magnitude of the offset B, and the corrected modulation-compensated received signal, assuming the minimum error to correspond to the correct time of arrival for the received data. - View Dependent Claims (10)
-
-
11. A medium, executable in a computer system, for detecting a position in time of a predetermined shape within an analog or digital signal, irrespective of any amplitude modulations and/or offsets within the signal comprising:
-
program instructions for storing a template of length N incorporating a replica of a signal [s(n)] without multipath; program instructions for normalizing the template and generating either an extended template or a balanced template; program instructions for receiving a modulated signal [s(n)] subject to modulation effects A on pulse shape or peak [p(n)] and vertical offset B where “
n”
is representative of a time index or samples of the signal; andprogram instructions for correlating the extended template with the received signal for multiple sample shifts to create a modulation-compensated received signal to estimate modulation effects of A at a particular time, n; program instructions for subtracting various sample-shifted versions of the normalized template from the modulation-compensated received signal to produce a corrected modulation-compensated received signal; program instructions for calculating the average difference between the normalized template and the corrected modulation-compensated received signal to determine the magnitude of the offset B for a particular time, n; and program instructions for determining the squared error between the normalized template, modified by the determined magnitude of the offset B, and the corrected modulation-compensated received signal, assuming the minimum error to correspond to the correct position of the predetermined shape within the signal. - View Dependent Claims (12)
-
-
13. A system for detecting the position in time of a predetermined shape within an analog or digital signal, irrespective of any amplitude modulations and/or offsets within the signal, comprising:
-
at least one processor; at least one memory coupled to the at least one processor and containing instructions which when executed by the processor cause the at least one processor to perform the steps of; storing a template of length N incorporating a replica of the transmitted signal [s(n)] without multipath; normalizing the template and generating either an extended template (antisymmetric concatenation) or a balanced template (DC-shifting), the integral (analog) or sum (discrete) of which is precisely equal to zero; receiving the modulated signal [s(n)] subject to modulation effects A on pulse shape or peak [p(n)] and vertical offset B due to multipath where “
n”
is representative of a time index or samples of the signal;correlating the extended or balanced template with the received signal for multiple sample shifts to create a modulation-compensated received signal to estimate modulation effects of A at a particular time, n; subtracting various sample-shifted versions of the normalized template from the modulation-compensated received signal to produce a corrected modulation-compensated received signal; calculating the average difference between the normalized template and the corrected modulation-compensated received signal to determine the magnitude of the offset B for a particular time, n; and determining the squared error between the normalized template, modified by the determined magnitude of the offset B, and the corrected modulation-compensated received signal, assuming the minimum error to correspond to the correct time of arrival for the received data.
-
Specification