Electronic device, method for controlling electronic device, and program
An electronic device includes a transmission antenna that transmits a transmission wave, a plurality of reception antennas that receive a reflected wave that is the transmission wave having been reflected, and a signal processing unit that detects an object with a subspace method, based on a transmission signal transmitted as the transmission wave and a reception signal received as the reflected wave. The signal processing unit estimates a direction of arrival of the reflected wave, based on solutions of an algebraic equation Root-MUSIC Polynomial (hereinafter referred to as “RMP solutions”) in a Root-MUSIC method that satisfy a first requirement and a second requirement in terms of positions of the RMP solutions in a complex plane. The first requirement is a requirement related to a distance between a unit circle and each of the RMP solutions in the complex plane. The second requirement is a requirement related to a distance or an argument between at least two adjacent RMP solutions among the RMP solutions in the complex plane.
1 . An electronic device comprising:
a transmission antenna configured to transmit a transmission wave;
a plurality of reception antennas configured to receive a reflected wave that is the transmission wave having been reflected; and
a signal processing unit configured to detect an object with a subspace method, based on a transmission signal transmitted as the transmission wave and a reception signal received as the reflected wave, wherein
the signal processing unit is configured to estimate a direction of arrival of the reflected wave, based on solutions of an algebraic equation Root-MUSIC Polynomial (hereinafter referred to as “RMP solutions”) in a Root-MUSIC method that satisfy a first requirement and a second requirement in terms of positions of the RMP solutions in a complex plane,
the first requirement being a requirement related to a distance between a unit circle and each of the RMP solutions in the complex plane,
the second requirement being a requirement related to a distance or an argument between at least two adjacent RMP solutions among the RMP solutions in the complex plane, and the second requirement is determined by calculating a difference between norms of the at least two adjacent RMP solutions or by calculating a difference between arguments of the at least two adjacent RMP solutions.
2 . The electronic device according to claim 1 , wherein the first requirement is that a distance between each of the RMP solutions and an origin of the complex plane is greater than a predetermined threshold and is equal to or less than 1.
3 . The electronic device according to claim 1 , wherein the second requirement is that the distance between the two adjacent RMP solutions among the RMP solutions in the complex plane is less than a predetermined threshold.
4 . The electronic device according to claim 1 , wherein the second requirement is that the argument between the two adjacent RMP solutions among the RMP solutions in the complex plane is less than a predetermined threshold.
5 . The electronic device according to claim 1 , wherein the second requirement is that distances between three adjacent RMP solutions among the RMP solutions in the complex plane are less than a predetermined threshold.
6 . The electronic device according to claim 1 , wherein the second requirement is that arguments between three adjacent RMP solutions among the RMP solutions in the complex plane are less than a predetermined threshold.
7 . The electronic device according to claim 1 , wherein the plurality of reception antennas are arranged in a straight line to form a reception antenna array.
8 . An electronic device comprising:
a plurality of sensors configured to receive a sound wave or an ultrasonic wave from a sound source; and
a signal processing unit configured to detect an object with a subspace method, based on a reception signal received as the sound wave or the ultrasonic wave, wherein
the signal processing unit is configured to estimate a direction of arrival of the sound wave or the ultrasonic wave, based on solutions of an algebraic equation Root-MUSIC Polynomial (hereinafter referred to as “RMP solutions”) in a Root-MUSIC method that satisfy a first requirement and a second requirement in terms of positions of the RMP solutions in a complex plane,
the first requirement being a requirement related to a distance between a unit circle and each of the RMP solutions in the complex plane,
the second requirement being a requirement related to a distance or an argument between at least two adjacent RMP solutions among the RMP solutions in the complex plane, and the second requirement is determined by calculating a difference between norms of the at least two adjacent RMP solutions or by calculating a difference between arguments of the at least two adjacent RMP solutions.
9 . A method for controlling an electronic device, the method comprising:
a step of transmitting a transmission wave with a transmission antenna;
a step of receiving, with a plurality of reception antennas, a reflected wave that is the transmission wave having been reflected;
a step of detecting an object with a subspace method, based on a transmission signal transmitted as the transmission wave and a reception signal received as the reflected wave; and
a step of estimating a direction of arrival of the reflected wave, based on solutions of an algebraic equation Root-MUSIC Polynomial (hereinafter referred to as “RMP solutions”) in a Root-MUSIC method that satisfy a first requirement and a second requirement in terms of positions of the RMP solutions in a complex plane,
the first requirement being a requirement related to a distance between a unit circle and each of the RMP solutions in the complex plane,
the second requirement being a requirement related to a distance or an argument between at least two adjacent RMP solutions among the RMP solutions in the complex plane, and the second requirement is determined by calculating a difference between norms of the at least two adjacent RMP solutions or by calculating a difference between arguments of the at least two adjacent RMP solutions.
10 . A non-transitory computer-readable recording medium storing computer program instructions, which when executed by a computer, cause the computer to:
transmit a transmission wave with a transmission antenna;
receive, with a plurality of reception antennas, a reflected wave that is the transmission wave having been reflected;
detect an object with a subspace method, based on a transmission signal transmitted as the transmission wave and a reception signal received as the reflected wave; and
estimate a direction of arrival of the reflected wave, based on solutions of an algebraic equation Root-MUSIC Polynomial (hereinafter referred to as “RMP solutions”) in a Root-MUSIC method that satisfy a first requirement and a second requirement in terms of positions of the RMP solutions in a complex plane,
the first requirement being a requirement related to a distance between a unit circle and each of the RMP solutions in the complex plane,
the second requirement being a requirement related to a distance or an argument between at least two adjacent RMP solutions among the RMP solutions in the complex plane, and the second requirement is determined by calculating a difference between norms of the at least two adjacent RMP solutions or by calculating a difference between arguments of the at least two adjacent RMP solutions.
11 . An electronic device comprising:
a transmission antenna configured to transmit a transmission wave;
a plurality of reception antennas configured to receive a reflected wave that is the transmission wave having been reflected;
a signal processing unit configured to detect an object with a subspace method, based on a transmission signal transmitted as the transmission wave and a reception signal received as the reflected wave; and
a display unit configured to display an image, wherein
the signal processing unit is configured to estimate a direction of arrival of the reflected wave by removing a first solution not satisfying a requirement related to a distance or an argument between the first solution and at least one second solution adjacent to the first solution in a complex plane, and the signal processing unit is configured to determine whether the first solution satisfies the requirement by calculating a difference between norms of the first solution and the at least one second solution or by calculating a difference between arguments of the first solution and the at least one second solution, and
the display unit is configured to display the estimated direction of arrival.
12 . The electronic device according to claim 1 , wherein the at least two adjacent RMP solutions have consecutive ordinal numbers for points of the RMP solutions sorted in order of range in a clustered point cloud in a range-Doppler plane.
13 . The electronic device according to claim 8 , wherein the at least two adjacent RMP solutions have consecutive ordinal numbers for points of the RMP solutions sorted in order of range in a clustered point cloud in a range-Doppler plane.
14 . The method according to claim 9 , wherein the at least two adjacent RMP solutions have consecutive ordinal numbers for points of the RMP solutions sorted in order of range in a clustered point cloud in a range-Doppler plane.
15 . The non-transitory computer-readable recording medium according to claim 10 , wherein the at least two adjacent RMP solutions have consecutive ordinal numbers for points of the RMP solutions sorted in order of range in a clustered point cloud in a range-Doppler plane.
16 . The electronic device according to claim 11 , wherein the signal processing unit is configured to determine solutions of an algebraic equation Root-MUSIC Polynomial (hereinafter referred to as “RMP solutions”), and
the first solution and the at least one second solution have consecutive ordinal numbers for points of the RMP solutions sorted in order of range in a clustered point cloud in a range-Doppler plane.