The phrase "a series of echoing" is correct and usable in written English.
It can be used to describe multiple instances of sound reverberating or repeating in a space or context.
Example: "As I walked through the empty hall, I could hear a series of echoing footsteps behind me."
Alternatives: "a succession of echoes" or "a chain of reverberations".
In Confession Tolstoy hints at the very fictionality of his own autobiography through a series of echoes with his novels.
The arguments — in the virtual salons of the Internet and the actual rooms where movie critics hold their year-end meetings — are perhaps more intense and contentious than ever, but they also seem to take place in a series of echo chambers, sealed off from wider, less specialized conversations.
The exhibition operates through a series of echoes, reaching back into the past with about 100 works, from the 16th to the 19th century, featuring destruction and ruin, and radiating out into the present with pieces by several contemporary artists including Mona Hatoum, Michael Rakowitz and Abdessemed.
The theory of synthetic aperture radar (SAR) signal model is briefly introduced which is constructed with a series of echo signals in range direction.
If you stand in the middle of Lausanne Cathedral in Switzerland and snap your fingers, the sound waves will project outward until they bounce off the stone walls, arches, altars, and statues of the Gothic church, and return, in a series of echoes, to your ears.
They contain ripping acid-house ("Acid Surf"), along with some more idiosyncratic material; "Neon," for example, sounds like a series of echoes resonating from a geometrically implausible cave.
The cells were then scanned using a 3-T clinical MR scanner (Magnetom Trio, A Tim System, Siemens Medical Solutions USA, Inc., Malvern, PA) and a multiecho T2 weighted fast spin echo imaging sequence to collect a series of echo time (TE) dependent data points simultaneously (15 different TE values ranging from 11 to 165 ms).
Leaflets: Poems 1965 1968 (1969) includes a number of translations of poetry from other languages as well as a series of poems echoing the Middle Eastern ghazal genre.
This novel is an ingenious, often maddening series of echoing tales written in the manner of Calvino.
Overnight, a series of explosions echoed in the early hours of Monday but the cause of the blasts was not immediately clear.
