Filtering channel responses for motion detection
In a general aspect, a set of observed frequency-domain channel responses is filtered to remove noise or distortions that are not related to changes in the physical environment. In some aspects, for each frequency-domain channel response, a time-domain channel response is generated based on the frequency-domain channel response; and a filtered time-domain channel response is generated based on a constraint applied to the time-domain channel response. Additionally, a reconstructed frequency-domain channel response is generated based on the filtered time-domain channel response. An error signal is also generated, and a determination is made as to whether the error signal satisfies a criterion. The error signal can be indicative of a difference between the frequency-domain channel response and the reconstructed frequency-domain channel response. In response to each of the error signals satisfying the criterion, motion of an object in a space is detected based on the set of frequency-domain channel responses.
1. A method comprising:
obtaining a frequency-domain channel response based on a wireless signal transmitted through a space, the wireless signal being formatted according to a wireless communication standard;
generating a time-domain channel response based on the frequency-domain channel response;
generating a filtered time-domain channel response based on a constraint applied to the time-domain channel response, wherein the constraint is indicative of a maximum delay with which a pulse can reach a receiving wireless communication device, the constraint being determined by a maximum attenuation the pulse can experience in the space and be received by the receiving wireless communication device;
generating a reconstructed frequency-domain channel response based on the filtered time-domain channel response; and
determining a state of the space based on the reconstructed frequency-domain channel responses.
2. The method of claim 1 , wherein the time-domain channel response comprises a plurality of time domain pulses with each time domain pulse comprising an amplitude coefficient and a pulse time.
3. The method of claim 2 , wherein the constraint comprises a constraint on the pulse time of each of the plurality of time domain pulses in the time-domain channel response.
4. The method of claim 2 , wherein the constraint comprises a constraint on the amplitude coefficient of each of the plurality of time domain pulses in the time-domain channel response.
5. The method of claim 1 , wherein the wireless signal comprises an orthogonal frequency division multiplexing (OFDM) signal, and the frequency-domain channel response is based on one or more training fields in a PHY frame of the OFDM signal.
6. A device comprising:
one or more processors;
memory storing instructions that are operable when executed by the one or more processors to perform operations comprising:
obtaining a frequency-domain channel response based on a wireless signal transmitted through a space, the wireless signal being formatted according to a wireless communication standard;
generating a time-domain channel response based on the frequency-domain channel response;
generating a filtered time-domain channel response based on a constraint applied to the time-domain channel response, wherein the constraint is indicative of a maximum delay with which a pulse can reach a receiving wireless communication device, the constraint being determined by a maximum attenuation the pulse can experience in the space and be received by the receiving wireless communication device;
generating a reconstructed frequency-domain channel response based on the filtered time-domain channel response; and
determining a state of the space based on the reconstructed frequency-domain channel responses.
7. The device of claim 6 , wherein the time-domain channel response comprises a plurality of time domain pulses with each time domain pulse comprising an amplitude coefficient and a pulse time.
8. The device of claim 7 , wherein the constraint comprises a constraint on the pulse time of each of the plurality of time domain pulses in the time-domain channel response.
9. The device of claim 7 , wherein the constraint comprises a constraint on the amplitude coefficient of each of the plurality of time domain pulses in the time-domain channel response.
10. The device of claim 6 , wherein the wireless signal comprises an orthogonal frequency division multiplexing (OFDM) signal, and the frequency-domain channel response is based on one or more training fields in a PHY frame of the OFDM signal.
11. A method comprising:
obtaining a set of frequency-domain channel responses based on a set of wireless signals transmitted through a space, each of the frequency-domain channel responses corresponding to a respective wireless signal of the set of wireless signals, the set of wireless signals being formatted according to a wireless communication standard;
generating a set of time-domain channel responses based on the set of frequency-domain channel responses;
generating a set of filtered time-domain channel responses based on a constraint applied to each time-domain channel response of the set of time-domain channel responses, wherein the constraint is indicative of a maximum delay with which a pulse can reach a receiving wireless communication device, the constraint being determined by a maximum attenuation the pulse can experience in the space and be received by the receiving wireless communication device;
generating a set of reconstructed frequency-domain channel responses based on the set of filtered time-domain channel responses; and
detecting motion of an object in the space based on the set of reconstructed frequency-domain channel responses.
12. The method of claim 11 , wherein each of the time-domain channel responses comprises a plurality of time domain pulses with each time domain pulse comprising an amplitude coefficient and a pulse time.
13. The method of claim 12 , wherein the constraint comprises a constraint on the pulse time of each of the plurality of time domain pulses in each of the time-domain channel responses.
14. The method of claim 12 , wherein the constraint comprises a constraint on the amplitude coefficient of each of the plurality of time domain pulses in each of the time-domain channel responses.
15. The method of claim 11 , wherein the set of wireless signals comprises a set of orthogonal frequency division multiplexing (OFDM) signals, and each of the frequency-domain channel responses is based on one or more training fields in a PHY frame of a corresponding OFDM signal of the set of OFDM signals.
16. A device comprising:
one or more processors;
memory storing instructions that are operable when executed by the one or more processors to perform operations comprising:
obtaining a set of frequency-domain channel responses based on a set of wireless signals transmitted through a space, each of the frequency-domain channel responses corresponding to a respective wireless signal of the set of wireless signals, the set of wireless signals being formatted according to a wireless communication standard;
generating a set of time-domain channel responses based on the set of frequency-domain channel responses;
generating a set of filtered time-domain channel responses based on a constraint applied to each time-domain channel response of the set of time-domain channel responses, wherein the constraint is indicative of a maximum delay with which a pulse can reach a receiving wireless communication device, the constraint being determined by a maximum attenuation the pulse can experience in the space and be received by the receiving wireless communication device;
generating a set of reconstructed frequency-domain channel responses based on the set of filtered time-domain channel responses; and
detecting motion of an object in the space based on the set of reconstructed frequency-domain channel responses.
17. The device of claim 16 , wherein each of the time-domain channel responses comprises a plurality of time domain pulses with each time domain pulse comprising an amplitude coefficient and a pulse time.
18. The device of claim 17 , wherein the constraint comprises a constraint on the pulse time of each of the plurality of time domain pulses in the each of the time-domain channel responses.
19. The device of claim 17 , wherein the constraint comprises a constraint on the amplitude coefficient of each of the plurality of time domain pulses in each of the time-domain channel responses.
20. The device of claim 16 , wherein the set of wireless signals comprises a set of orthogonal frequency division multiplexing (OFDM) signals, and each of the frequency-domain channel responses is based on one or more training fields in a PHY frame of a corresponding OFDM signal of the set of OFDM signals.