Method and Apparatus for Pulse Optimization for Hardware Implementation
Methods and apparatus for optimizing pulses provided by a pulse-shaping filter implemented in hardware. Pulses are optimized and generated by the pulse-shaping filter that are of finite length and meet one or more signal quality criteria, e.g., error vector magnitude (EVM) and/or adjacent channel leakage ratio (ACLR). According to one exemplary embodiment, a first finite length constraint is identified and a second out-of-band power criterion is identified. An error function is defined which measures the distortion of the generated signal relative to a reference pulse modeled after an ‘ideal’ pulse. The error function is minimized to determine optimized pulses, which when used to pulse-shape a communications signal, do not substantially increase in-channel distortion of said communications signal. To avoid the generation of excessive out-of-channel power, minimization is performed subject to a predetermined maximum allowable out-of-channel power condition.
1 . A communications transmitter, comprising:
a modulator configured to receive a sequence of binary bits and generate symbols represented by a plurality of impulses; and
a finite length pulse-shaping filter configured to receive said plurality of impulses and generate a continuous waveform,
wherein said finite length pulse-shaping filter is configured to condition said plurality of impulses to minimize the degree by which said pulse-shaping filter contributes to in-channel distortion of said continuous waveform.
2 . The communications transmitter of claim 1 wherein the finite length filter is further configured to condition the plurality of impulses by reducing the time duration of its impulse response.
3 . The communications transmitter of claim 2 wherein reducing the time duration of the finite length filter's impulse response is determined subject to a hardware criterion.
4 . The communications transmitter of claim 1 wherein said finite length pulse-shaping filter is configured to approximate a filter having an infinite time impulse response.
5 . The communications transmitter of claim 1 wherein said finite length pulse-shaping filter is further configured to condition said impulses so that said continuous waveform satisfies a predetermined adjacent channel power criterion.
6 . A method of optimizing a pulse-shaping filter, comprising:
defining a reference pulse-shaping filter; and
using characteristics of said reference pulse-shaping filter, performing an optimization process that computes an optimized pulse for use by an optimized pulse-shaping filter,
wherein computing said optimized pulse is performed so that when said optimized pulse-shaping filter is used to pulse-shape an input signal, the optimized pulse-shaping filter operates to minimize introduction of in-channel distortion into the resulting pulse-shaped signal.
7 . The method of claim 6 wherein computing said optimized pulse is performed subject to a predetermined out-of-channel signal quality criterion.
8 . The method of claim 6 wherein computing said optimized pulse comprises solving a minimization problem characterized by the degree by which said pulse contributes to the in channel distortion of said continuous waveform.
9 . The method of claim 6 wherein computing said optimized pulse further comprises selecting from a function from among a space of finite length functions.
10 . The method of claim 6 wherein computing said optimized pulse is performed in a manner that depends on predetermined hardware characteristics of the optimized pulse-shaping filter.
11 . The method of claim 6 wherein said optimized pulse-shaping filter is operable to provide the optimized pulse in a manner that approximates a pulse provided by the reference pulse-shaping filter.
12 . The method of claim 11 wherein said reference pulse-shaping filter is modeled after a more ideal pulse-shaping filter that provides a more ideal pulse-shaped pulse.
13 . The method of claim 12 wherein said more ideal pulse-shaping filter has an essentially infinite time impulse response.
14 . The method of claim 13 wherein said more ideal pulse-shaping filter comprises a root-raised cosine (RRC) pulse-shaping filter.
15 . The method of claim 6 wherein computing said optimized pulse is performed in a manner that reduces the peak-to-average ratio (PAR) of said input signal.
16 . A method of optimizing the pulse-shaping capability of a pulse-shaping filter, comprising:
providing a finite length pulse-shaping filter that approximates a more ideal pulse-shaping filter;
specifying at least one optimization criterion for said finite length pulse-shaping filter, said at least one optimization criterion characterized by an in-channel signal quality; and
generating a pulse-shaped signal using said finite length pulse-shaping filter.
17 . The method of claim 16 wherein said at least one optimization criterion further includes a desired length of said finite length pulse-shaping filter.
18 . The method of claim 17 , further comprising changing the desired length of said finite length pulse-shaping filter if the finite length pulse-shaping filter does not satisfy an in-channel distortion criterion.
19 . The method of claim 16 wherein said at least one optimization criterion is further characterized by an out-of-channel distortion criterion.
20 . The method of claim 16 wherein said more ideal pulse-shaping filter is modeled after a filter having an essentially infinite time impulse response.
21 . The method of claim 16 wherein said more ideal pulse-shaping filter is modeled after a root-raised cosine (RRC) pulse-shaping filter.
22 . The method of claim 16 wherein generating a pulse-shaped signal using said finite length pulse-shaping filter results in a modified signal having a reduced peak-to-average ratio (PAR).
23 . The method of claim 16 wherein specifying at least one optimization criterion for said finite length pulse-shaping filter comprises specifying at least on optimization criterion that ensures that the finite length pulse-shaping filter generates a pulse-shaped signal that satisfies a communications standard.
24 . The method of claim 23 wherein the communications standard comprises a standard specifying ate least one distortion specification for operating in a UMTS communications system.