Opportunity Information: Apply for 12 SN 0019
Apply for 12 SN 0019
- The Office of Naval Research in the science and technology and other research and development sector is offering a public funding opportunity titled "Co Prime Sensor Array Signal Processing" and is now available to receive applicants.
- Interested and eligible applicants and submit their applications by referencing the CFDA number(s): 12.300 Basic and Applied Scientific Research.
- This funding opportunity was created on Jul 25, 2012 and posted on Jul 25, 2012.
- Applicants must submit their applications by Sep 21, 2012 Refer to the BAA or application instructions for white paper due dates.. (Agency may still review applications by suitable applicants for the remaining/unused allocated funding in 2026.)
- The funding agency has allocated a total of $5,000,000.00 to eligible and selected applicants.
- The number of recipients for this funding is limited to 10 candidate(s).
- Eligible applicants include: Others (see text field entitled Additional Information on Eligibility for clarification).
- Refer to ONRBAA12 001
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Opportunity Summary:
The Office of Naval Research (ONR) announced a Basic Research Challenge titled "Co Prime Sensor Array Signal Processing" aimed at building the core theoretical foundations for co-prime signal processing, described as a newer sampling and waveform strategy that could significantly simplify how sensor arrays are built and how their data are processed. The central idea is that co-prime array geometries can produce performance comparable to much denser, classically designed arrays, but with far fewer physical sensing elements. In practical terms, this could reduce hardware complexity and cost while still enabling high-resolution sensing, beamforming, and image formation.
The technical motivation comes from co-prime array designs in the spatial domain, which extend the concept of minimally redundant arrays. The opportunity description provides a simple example: two uniform linear arrays are constructed with element spacings of M*(lambda/2) and N*(lambda/2), where lambda is the wavelength and M and N are co-prime integers (they share no common divisor other than 1). For spatially stationary fields, the information (inference) obtainable from these two sparse arrays can be asymptotically equivalent to what would be obtained using a fully populated array of MN elements spaced at the standard lambda/2 separation. Even though the physical array may contain only (M+N-1) elements if one element is shared, the associated "co-array" can provide MN degrees of freedom, which in turn suggests the ability to resolve on the order of O(MN) sources. ONR emphasizes two expected payoffs: simpler, lower-cost array designs and substantially streamlined downstream signal processing.
ONR is explicitly seeking research that goes beyond these promising early results to address major open questions. Key research directions include extending one-dimensional co-prime theory to two-dimensional arrays; generalizing the concept to active sensing and communication systems such as radar, sonar, and communications; and developing methods for joint transmitter waveform design and receiver processing within a co-prime mathematical framework. The announcement also highlights robustness and real-world practicality, asking how random element spacing errors affect performance, whether efficient imaging systems can be built using co-prime sensing strategies, and what theoretical bounds exist on the maximum number of sources that can be resolved in two-dimensional configurations. Additional emphasis is placed on challenging propagation conditions, including how to generalize co-prime sensing and sampling to multipath environments, and whether the underlying theory can be leveraged to create more efficient Fourier transform algorithms.
From a programmatic standpoint, this topic sits within ONR's Basic Research Challenge Program, which is intended to competitively select and fund high-risk, high-payoff basic research efforts in areas not already covered by existing programs. The program encourages multidisciplinary and collaborative work and is also positioned as a way to attract new investigators and performers. ONR requested white papers in response to the topic, with submission and application handled under the broader ONR BAA instructions rather than applying directly under the special notice.
Administrative details included in the posting specify that the opportunity is a discretionary grant in the science and technology / research and development category, with an estimated total funding level of $5,000,000 and an expectation of around 10 awards. The CFDA listing is 12.300 (Basic and Applied Scientific Research), and cost sharing is not required. The posting date was July 25, 2012, with an original/current closing date of September 21, 2012 (with white paper due dates governed by the BAA instructions), and an archive date of October 21, 2012. Eligibility is described broadly as "Others" with the specific eligibility rules deferred to the ONR BAA (ONRBAA12-001). For access issues related to the full announcement, the listed point of contact was Frank Kennedy, Contract Specialist, at 703-696-2440, with Grants.gov listed for submission-related questions.
Frequently Asked Questions (FAQs)
What is the title of this ONR Basic Research Challenge?
The topic is titled "Co Prime Sensor Array Signal Processing."
Which agency is sponsoring this opportunity?
The opportunity was announced by the Office of Naval Research (ONR).
What is the main goal of the research topic?
The goal is to build the core theoretical foundations for co-prime signal processing, described as a newer sampling and waveform strategy that could simplify how sensor arrays are built and how their data are processed.
Why are co-prime arrays considered promising for sensor arrays?
The central idea is that co-prime array geometries can produce performance comparable to much denser, classically designed arrays, but with far fewer physical sensing elements. This suggests reduced hardware complexity and cost while still enabling high-resolution sensing, beamforming, and image formation.
What does "co-prime" mean in this context?
M and N are co-prime integers, meaning they share no common divisor other than 1. In the example provided, two uniform linear arrays use element spacings of M*(lambda/2) and N*(lambda/2), where lambda is the wavelength.
What example array construction is described in the announcement?
The announcement describes two uniform linear arrays: one with spacing M*(lambda/2) and one with spacing N*(lambda/2). For spatially stationary fields, the inference obtainable from these sparse arrays can be asymptotically equivalent to what would be obtained from a fully populated array of MN elements spaced at lambda/2.
How many physical sensing elements might a co-prime array use compared to a dense array?
In the example, the physical array may contain only (M+N-1) elements if one element is shared, even though the corresponding fully populated array would have MN elements.
What is a "co-array" and why does it matter here?
The announcement notes that the associated "co-array" can provide MN degrees of freedom, even when the physical array is much sparser. This is tied to the potential to resolve on the order of O(MN) sources.
What payoffs does ONR emphasize for this research area?
ONR highlights two expected payoffs: (1) simpler, lower-cost array designs and (2) substantially streamlined downstream signal processing.
Is ONR looking for incremental work or for research that goes beyond early results?
ONR is explicitly seeking research that goes beyond promising early results and addresses major open questions in co-prime signal processing.
What are the key research directions ONR lists?
The posting highlights several directions, including: extending one-dimensional co-prime theory to two-dimensional arrays; generalizing the concept to active sensing and communication systems (radar, sonar, communications); and developing methods for joint transmitter waveform design and receiver processing within a co-prime mathematical framework.
Does the topic include two-dimensional (2D) array theory?
Yes. Extending one-dimensional co-prime theory to two-dimensional arrays is called out as a key research direction, including questions about theoretical bounds on the maximum number of sources resolvable in two-dimensional configurations.
Does ONR mention active sensing and communications applications?
Yes. The announcement specifically references generalizing co-prime concepts to active sensing and communication systems such as radar, sonar, and communications.
Is joint transmitter and receiver design part of the scope?
Yes. ONR highlights developing methods for joint transmitter waveform design and receiver processing within a co-prime mathematical framework.
Are robustness and real-world practicality part of what ONR wants studied?
Yes. The announcement asks how random element spacing errors affect performance and whether efficient imaging systems can be built using co-prime sensing strategies.
Does the announcement mention imaging specifically?
Yes. It asks whether efficient imaging systems can be built using co-prime sensing strategies.
Are multipath environments and difficult propagation conditions included?
Yes. The topic includes questions about how to generalize co-prime sensing and sampling to multipath environments.
Is there any mention of Fourier transform algorithm efficiency?
Yes. The posting asks whether the underlying theory can be leveraged to create more efficient Fourier transform algorithms.
What program is this opportunity part of?
This topic sits within ONR's Basic Research Challenge Program, which competitively selects and funds high-risk, high-payoff basic research efforts in areas not already covered by existing programs.
What type of work does the Basic Research Challenge Program encourage?
The program encourages multidisciplinary and collaborative work and is positioned as a way to attract new investigators and performers.
What is the funding instrument and category?
The posting lists this as a discretionary grant in the science and technology / research and development category.
What is the estimated total funding level?
The estimated total funding level is $5,000,000.
How many awards does ONR expect to make?
The posting indicates an expectation of around 10 awards.
What is the CFDA number listed for this opportunity?
The CFDA listing is 12.300 (Basic and Applied Scientific Research).
Is cost sharing required?
No. The posting states that cost sharing is not required.
What were the key dates shown in the posting?
The posting date was July 25, 2012. The original/current closing date was September 21, 2012. The archive date was October 21, 2012. The white paper due dates were governed by the broader ONR BAA instructions.
Were white papers requested?
Yes. ONR requested white papers in response to the topic.
How were submissions supposed to be handled?
The announcement notes that submission and application were handled under the broader ONR BAA instructions rather than applying directly under the special notice.
Which BAA governed eligibility rules and submission instructions?
The posting defers specific eligibility rules to the ONR BAA identified as ONRBAA12-001.
Who was listed as the point of contact for access issues with the full announcement?
The listed point of contact for access issues was Frank Kennedy, Contract Specialist, at 703-696-2440.
Who was referenced for submission-related questions?
Grants.gov was listed for submission-related questions.
How is eligibility described in the posting?
Eligibility is described broadly as "Others," with the specific eligibility rules deferred to the ONR BAA (ONRBAA12-001).
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